**Algebraic Number Theory**[show/hide]

Algebraic number theory

Amorós Carafí, Laia | Aalto University, Finland |

Bank, Efrat | Number Theory in Function Fields, Finite Fields, Galois Theory. (University of Michigan, USA) |

Baran, Burcu | Arithmetic algebraic geometry: Modular curves and moduli spaces, elliptic curves and Galois representations; Number theory: Algebraic number theory, Arakelov theory; Commutative algebra (University of Michigan, USA) |

Bayer Fluckiger, Eva | Algebraic Number Theory (École Polytechnique Fédérale de Lausanne, Switzerland) |

Belding, Juliana | algebraic number theory and arithmetic geometry, with an eye towards cryptography (Harvard University, USA) |

Beliaeva, Tatiana | IRMA, Strasbourg, France |

Berg, Jen | Arithmetic geometry, Rational points (Rice University, USA) |

Bilhan, Mehpare | Middle East Technical University, Ankara, Turkey |

Bilici, Duygu Ozden | Irreducible polynomials over finite fields, algebraic number theory. (Istanbul University, Turkey.) |

Caraiani, Ana | Algebraic number theory, cohomology of Shimura varieties. (Harvard University) |

Chara, María de los Angeles | Towers of function fields over finite fields and algebraic geometry codes (Universidad Nacional del Litoral, Santa Fe, Argentina) |

Çiperiani, Mirela | My mathematical interests lie in algebraic number theory and arithmetic algebraic geometry. (The University of Texas at Austin, USA) |

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

Davis, Rachel | Algebraic number theory, arithmetic geometry, cryptography, Galois representations. (University of Wisconsin, USA) |

DEL CORSO, Ilaria | Algebraic Number Theory, local fields, ramification, NIB (Universita' di PISA, Italy) |

Dubois, Isabelle | Algebraic Number Theory originally, and now links between Number Theory and Combinatorics (University of Lorraine, France) |

Eischen, Ellen | Automorphic forms (University of Oregon, USA) |

Eisentraeger, Kirsten | algebraic number theory, arithmetic geometry, computational number theory, cryptography (Penn State University, USA) |

Emory, Melissa | Automorphic Representation Theory, Representation Theory of p-adic groups, Number Theory |

Feaver, Amy | I'm interested in Algebraic Number Theory, and right now am working on class number of, and norm-Euclidean number fields. (The King's University, Canada) |

Fintzen, Jessica | algebraic number theory, representation theory, p-adic groups (University of Michigan, USA, and University of Cambridge, UK and Institute for Advanced Study, USA) |

Frey, Linda | Arithmetic of abelian varieties of dimension 2 (University of Copenhagen, Denmark) |

Goedhart, Eva | Diophantine equations and Thue equations, algebraic number theory, elementary number theory. (Lebanon Valley College, USA) |

Graves, Hester | Euclidean ideal classes and modular forms. (Queen's University, Ontario, Canada) |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Hahn, Heekyoung | My primary interests are Automorphic L-functions, Relative Trace formula, Algebraic cycles on Shimura varieties and Representations of the classical groups. (Duke University, USA) |

Hall-Seelig, Laura | Her research is in number theory; her recent interests involve infinite towers of function fields. (Merrimack College, USA) |

Harron, Piper | arithmetic statistics, shapes of number fields, anything accessible that you want to teach me, smashing oppressive systems (Honolulu, USA) |

Ho, Anne M. | number theory, arithmetic geometry, algebraic geometry (Coastal Carolina University, USA) |

Ho, Wei | algebraic geometry, number theory, representation theory (University of Michigan, USA) |

Hsu, Catherine | Congruences between modular forms, Euclidean ideals (University of Bristol, UK) |

Karemaker, Valentijn | Arithmetic geometry, algebraic number theory (University of Pennsylvania, USA) |

Kılıçer, Pınar | Algorithmic and algebraic number theory, algebraic curves, complex multiplication (University of Groningen) |

Lang, Jaclyn | Images of Galois representations, rank 1 motives (Université Paris 13) |

Leal, Isabel | Arithmetic geometry, algebraic number theory (University of Chicago) |

Long Hoelscher, Jing | algebraic number theory, Drinfeld modules, Galois theory (University of Illinois at Chicago, USA) |

Lorenzo García, Elisa | Twists of curves. Moduli spaces. Frobenius distributions. Complex multiplication. Reduction of curves. (Université de Rennes 1, France) |

Marino, Alicia | quadratic forms, lattice theory (University of Hartford, USA) |

Martindale, Chloe | Isogeny-based cryptography (University of Bristol, UK) |

Medvedovsky, Anna | modular forms, Hecke algebras, Galois representations, mod-p phenomena (ICERM, USA) |

Miller, Alison Beth | Arithmetic Statistics, Arithmetic Invariant Theory, Connections with Algebraic Knot Invariants (Mathematical Reviews / University of Michigan, USA) |

Nelson, Dawn | Algebraic Number Theory with a focus on Number Fields, p-adic Numbers, Galois Theory, and Linear Representations. (Bates College) |

Paulhus, Jennifer | algebraic number theory and arithmetic geometry (Grinnell College, USA) |

Perucca, Antonella | Kummer theory, Reductions of algebraic groups (University of Luxembourg, L) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Ramdorai, Sujatha | My initial area of research was the algebraic theory of quadratic forms. Currently, I work in the area of non-commutative Iwasawa theory. My research interests also include the study of motives. (University of British Columbia, Canada) |

Robertson, Leanne | Algebraic Number Theory, Elementary Number Theory (Seattle University, USA) |

Sabitova, Maria | Algebraic number theory (CUNY, USA) |

Silverberg, Alice | Number Theory, Cryptography (University of California, Irvine, USA) |

Stange, Katherine | Algebraic number theory, arithmetic geometry, arithmetic of Kleinian groups, elliptic curves, Apollonian circle packings, integer sequences, cryptography, arithmetic dynamics, game theory (University of Colorado, Boulder, USA) |

Stojanoska, Vesna | homotopy theory and applications to arithmetic (University of Illinois Urbana-Champaign, USA) |

Sutherland, Nicole | Algebraic Number Theory, Algorithmic and Computational Number Theory, Function Fields (University of Sydney, Australia) |

Thatte, Vaidehee | Ramification theory for arbitrary valuations (SUNY Binghamton, USA) |

Tobin, Bella | Arithmetic dynamics and Belyi maps, University of Hawai'i, USA |

Tucker, Amanda | Algebraic number theory, Analytic number theory -- class field theory, dynamics, cubic fields, modular forms, L-functions (University of Rochester, USA) |

Turnage-Butterbaugh, Caroline | multiplicative number theory, zeros of Riemann zeta-function and L-functions, class numbers (Carleton College, USA) |

Varma, Ila | Arithmetic Statistics and Galois representations (UC San Diego, USA) |

Vrioni, Brikena | Number Theory (Polytechnic University of Catalonia, Spain) |

Watson, Lori | Arithmetic of algebraic curves (University of Georgia, USA) |

Williams, Cassie | Arithmetic geometry (enumerating abelian varieties), algebraic number theory (class numbers, L-series, and characters) (and matrix group theory...) (James Madison University, USA) |

Wood, Melanie Matchett | My research interests include parametrization of number fields and their ideal classes, counting questions about number fields, and counting questions about algebraic varieties over finite fields. (University of Wisconsin-Madison, USA) |

Zemkova, Kristyna | Quadratic Forms (TU Dortmund, Germany) |

Zhao, Xiaomei | Function fields. (University of Waterloo, Canada) |

**Algorithmic and Computational Number Theory**[show/hide]

Algorithmic and Computational Number Theory

Balakrishnan, Jennifer | arithmetic geometry (Harvard University, USA) |

Ceria, Michela | Computational Algebra and applications (Università degli Studi di Milano) |

Chisholm, Sarah | Elliptic curves, cryptography, algebraic & arithmetic geometry, modular forms & curves, quaternion algebras, lattices (University of Calgary, Canada) |

Deines, Alyson | Computational algebraic number theory. (University of Washington, USA) |

Eisentraeger, Kirsten | algebraic number theory, arithmetic geometry, computational number theory, cryptography (Penn State University, USA) |

Ejder, Ozlem | Computational Number Theory (Colorado State University, USA) |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Ho, Wei | algebraic geometry, number theory, representation theory (University of Michigan, USA) |

Kılıçer, Pınar | Algorithmic and algebraic number theory, algebraic curves, complex multiplication (University of Groningen) |

Lauter, Kristin | Cryptography, Number Theory, Algebraic Geometry, Coding Theory (Microsoft Research, USA) |

Lorenzo García, Elisa | Twists of curves. Moduli spaces. Frobenius distributions. Complex multiplication. Reduction of curves. (Université de Rennes 1, France) |

Massierer, Maike | computational number theory, cryptography (University of New South Wales, Australia) |

Ostafe, Alina | Algebraic aspects of cryptography, Number theoretic aspects of cryptography, Pseudorandom number generators, Polynomial dynamical systems (University of New South Wales, Australia) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Scheidler, Renate | cryptography, invariants of global fields (University of Calgary, Canada) |

Silverberg, Alice | Number Theory, Cryptography (University of California, Irvine, USA) |

Somoza, Anna | Inverse Jacobian Problem, Theta functions (Université de Rennes 1, France) |

Sutherland, Nicole | Algebraic Number Theory, Algorithmic and Computational Number Theory, Function Fields (University of Sydney, Australia) |

Teske-Wilson, Edlyn | Cryptography, Computational Number Theory (University of Waterloo, Canada) |

Tran, Ha | Algorithmic and computational number theory (Concordia University of Edmonton) |

Vallée, Brigitte | The main theme is analysis of algorithms, most notably in the areas of computational number theory and information theory, this with a strong component related to dynamical systems. (Université de Caen, France) |

Vincent, Christelle | Number theory but more precisely modular forms, Drinfeld modules, Drinfeld modular forms and Drinfeld modular curves, curves and Jacobians with CM, and curves over fields of positive characteristic (University of Vermont, USA) |

West, Mckenzie | Obstructions to Rational Points, Sage (University of Wisconsin - Eau Claire, USA) |

**Analytic Number Theory**[show/hide]

Analytic Number Theory

Balkanova, Olga | Analytic Number theory (University of Bordeaux 1, France and Concordia University, Canada) |

Bartz, Krystyna | Analytic Number Theory (Adam Mickiewicz University, Poland) |

Beineke, Jennifer | analytic number theory, L-functions, modular forms (Western New England University, USA) |

Bhowmik, Gautami | Analytic and additive Number Theory (Université de Lille I, France) |

Brandes, Julia | Hardy-Littlewood method and neighbouring fields (University of Göttingen, Germany) |

Bucur, Alina | My field of research is analytic number theory. I work on problems regarding automorphic forms and L-series. I am also interested in arithmetic statistics. (University of California, San Diego, USA) |

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

David, Chantal | analytic number theory (Concordia University, Canada) |

DeCelles, Amy | Spectral theory of automorphic forms. (University of St. Thomas, USA) |

Ernvall-Hytönen, Anne-Maria | Analytic number theory. (University of Helsinki, Finland) |

Faye, Bernadette | Analytic Number Theory and Diophantine Equations (University of Witwatersrand, South Africa) |

Florea, Alexandra | Moments and zeros of L-functions over function fields (Columbia University, USA) |

Frechette, Sharon | Hypergeometric functions over finite field, L-functions, modular forms. (College of the Holy Cross, USA) |

Fuchs, Elena | Number theory, specifically in the context of group actions and sieve methods. (University of California, Berkeley, USA) |

Gafni, Ayla | University of Rochester |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Hahn, Heekyoung | My primary interests are Automorphic L-functions, Relative Trace formula, Algebraic cycles on Shimura varieties and Representations of the classical groups. (Duke University, USA) |

Hamieh, Alia | Algebraic number theory, automorphic forms, half-integral weight modular forms and L-functions. (University of Lethbridge, Canada) |

Kačinskaitė, Roma | questions on value-distribution and universality of zeta- and L-functions (Vytautas Magnus University and Siauliai University, Lithuania) |

Kadiri, Habiba | analytic number theory, L-functions, distribution of prime numbers. Publications (University of Lethbridge, Canada) |

Kumari Moni | Tata Institute of Fundamental Research Mumbai, India |

Lalin, Matilde | Number theory. (Université de Montréal) |

Lee, Min | Analytic number theory, especially L-functions, automorphic representations, Maass forms. Harmonic analysis. (Brown University, RI, USA) |

Malik, Amita | Number Theory (University of Illinois at Urbana-Champaign, USA) |

Malmskog, Beth | Algebraic curves over finite fields, especially maximal curves; zeta functions of finite graphs; and cryptography. (Colorado State University, USA) |

Mânzățeanu, Adelina | Rational points, circle method, Manin's conjecture, function fields (Leiden University, The Netherlands) |

Odzak, Almasa | Analytic number theory, Li coefficients, Selberg class (University of Sarajevo) |

Peluse, Sarah | Additive combinatorics and analytic number theory (University of Oxford, UK) |

Petersen, Kate | Number theory and topology. (Flordia State University, USA) |

Pierce, Lillian | analytic number theory and harmonic analysis (Duke University, USA) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Roditty-Gershon, Edva | Tel-Aviv University, Israel |

Salerno, Adriana | Arithmetic geometry, special functions (Bates College, USA) |

Schindler, Damaris | Analytic number theory, arithmetic geometry (Hausdorff Center for Mathematics, Bonn, Germany) |

Smajlovic, Lejla | Analytic number theory, L-functions, Selberg class (University of Sarajevo) |

Snaith, Nina | Research interests: random matrix theory and number theory. (University of Bristol, UK) |

Terras, Audrey | Graph theory, number theory. (University of California San Diego, USA) |

Thompson, Kate | Quadratic forms, modular forms, quaternion algebras. (DePaul University, USA) |

Thompson, Lola | analytic number theory, elementary number theory, applications of sieve methods, computational aspects of field theory and polynomials (Oberlin College, USA) |

Tucker, Amanda | Algebraic number theory, Analytic number theory -- class field theory, dynamics, cubic fields, modular forms, L-functions (University of Rochester, USA) |

Turnage-Butterbaugh, Caroline | multiplicative number theory, zeros of Riemann zeta-function and L-functions, class numbers (Carleton College, USA) |

Van Order, Jeanine | Analytic number theory (Ecole Polytechnique Fédérale de Lausanne, Switzerland) |

Vrioni, Brikena | Number Theory (Polytechnic University of Catalonia, Spain) |

**Arithmetic Combinatorics**[show/hide]

Arithmetic combinatorics

Dubois, Isabelle | Algebraic Number Theory originally, and now links between Number Theory and Combinatorics (University of Lorraine, France) |

Peluse, Sarah | Additive combinatorics and analytic number theory (University of Oxford, UK) |

Wolf, Julia | My research focuses on arithmetic structures in dense sets of integers and combines Fourier analytic, combinatorial and probabilistic methods. (École Polytechnique, France) |

Zumalacarregui, Ana | UNSW |

**Arithmetic Dynamics**[show/hide]

Arithmetic Dynamics

Anderson, Jacqueline | Arithmetic Dynamics (Bridgewater State University, USA) |

Juul, Jamie | arithmetic dynamics, algebraic number theory (University of British Columbia) |

Manes, Michelle | the intersection of dynamical systems and number theory (University of Hawai'i, USA) |

Thompson, Bianca | Arithmetic dynamics and finite dynamics (Westminster College, USA) |

Tobin, Bella | Arithmetic dynamics and Belyi maps, University of Hawai'i, USA |

**Arithmetic Geometry**[show/hide]

Arithmetic geometry

Abdellatif, Ramla | p-modular and p-adic Langlands programs (Université de Picardie Jules Verne, Amiens, France) |

Amorós Carafí, Laia | Aalto University, Finland |

Anbar Meidl Nurdagül | Algebraic Geometry, Number Theory (Austrian Academy of Sciences , Vienna) |

Arias-de-reyna, Sara | University of Luxembourg, Luxembourg |

Arledge, Jane | Arithmetic geometry. (University of Texas at Austin) |

Armana, Cécile | Drinfeld Modules (University of Münster, Germany) |

Balakrishnan, Jennifer | arithmetic geometry (Harvard University, USA) |

Baoulina, Ioulia | Indian Statistical Institute, Chennai, India |

Baran, Burcu | Arithmetic algebraic geometry: Modular curves and moduli spaces, elliptic curves and Galois representations; Number theory: Algebraic number theory, Arakelov theory; Commutative algebra (University of Michigan, USA) |

Bayer Isant, Pilar | Arithmetic geometry, modular curves, galois representations. (Universitat de Barcelona, Spain) |

Belding, Juliana | algebraic number theory and arithmetic geometry, with an eye towards cryptography (Harvard University, USA) |

Bellovin, Rebecca | I am interested in number theory and algebraic geometry, and I work on p-adic Hodge theory in rigid analytic families. (Stanford University, USA) |

Berg, Jen | Arithmetic geometry, Rational points (Rice University, USA) |

Berger, Lisa | My research is in arithmetic geometry; in recent work I study abelian varieties over function fields and finite fields. (Stony Brook University) |

Bertin, Marie José | Main current interests: Mahler measure of polynomials defining K3 surfaces. (Institut Mathématique de Jussieu, Université Paris 6, France) |

Bertolin, Cristiana | Arithmetic geometry. (Università di Torino, Italy) |

Bourdon, Abbey | Torsion points on abelian varieties and Galois representations associated to abelian varieties; fundamental groups in arithmetic geometry. (University of Georgia, USA) |

Bouw, Irene | arithmetic geometry (Universität Ulm, Ulm, Germany) |

Caraiani, Ana | Algebraic number theory, cohomology of Shimura varieties. (Harvard University) |

Chisholm, Sarah | Elliptic curves, cryptography, algebraic & arithmetic geometry, modular forms & curves, quaternion algebras, lattices (University of Calgary, Canada) |

Çiperiani, Mirela | My mathematical interests lie in algebraic number theory and arithmetic algebraic geometry. (The University of Texas at Austin, USA) |

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

Consani, Katia | Arithmetic Geometry, Number-Theory, Noncommutative Geometry (The Johns Hopkins University, MD, USA) |

Cooley, Jenny | Arithmetic of cubic surfaces, in particular Mordell-Weil point generation on smooth cubic surfaces over finite fields. (Currently between institutions.) |

Coppola, Nirvana | Galois representations attached to (hyper)elliptic curves (University of Bristol, UK) |

David, Chantal | analytic number theory (Concordia University, Canada) |

Davis, Rachel | Algebraic number theory, arithmetic geometry, cryptography, Galois representations. (University of Wisconsin, USA) |

Eisentraeger, Kirsten | algebraic number theory, arithmetic geometry, computational number theory, cryptography (Penn State University, USA) |

Ertl, Veronika | Number theory (Keio University) |

Etropolski, Anastassia | Arithmetic Geometry (Rice University, USA) |

Fox, Maria | Shimura varieties of PEL type, their integral models and supersingular loci, and Rapoport-Zink spaces. (Boston College, USA) |

Frechette, Sharon | Hypergeometric functions over finite field, L-functions, modular forms. (College of the Holy Cross, USA) |

Friedlander, Holley | Number theory. (Dickinson College) |

Fuselier, Jenny | Hypergeometric functions over finite fields, modular forms, elliptic curves (High Point University, USA) |

Goodson, Heidi | Hypergeometric functions, modular forms, elliptic curves, Calabi-Yau manifolds. (Brooklyn College (CUNY), USA) |

Hahn, Heekyoung | My primary interests are Automorphic L-functions, Relative Trace formula, Algebraic cycles on Shimura varieties and Representations of the classical groups. (Duke University, USA) |

Ho, Anne M. | number theory, arithmetic geometry, algebraic geometry (Coastal Carolina University, USA) |

Ho, Wei | algebraic geometry, number theory, representation theory (University of Michigan, USA) |

Hortsch, Ruthi | arithmetic geometry (Massachusetts Institute of Technology, USA) |

Iezzi, Annamaria | Curves over finite fields, Isogeny-based cryptography (University of South Florida, USA) |

Im, Bo-Hae | Chung-Ang University, Korea |

Johnson-Leung, Jennifer | Arithmetic Geometry, Automorphic Forms (University of Idaho, USA) |

Karemaker, Valentijn | Arithmetic geometry, algebraic number theory (University of Pennsylvania, USA) |

Kılıçer, Pınar | Algorithmic and algebraic number theory, algebraic curves, complex multiplication (University of Groningen) |

Lang, Jaclyn | Images of Galois representations, rank 1 motives (Université Paris 13) |

Lauter, Kristin | Cryptography, Number Theory, Algebraic Geometry, Coding Theory (Microsoft Research, USA) |

Leal, Isabel | Arithmetic geometry, algebraic number theory (University of Chicago) |

Li, Wanlin | University of Wisconsin-Madison, USA |

Long Hoelscher, Jing | algebraic number theory, Drinfeld modules, Galois theory (University of Illinois at Chicago, USA) |

Lorenzo García, Elisa | Twists of curves. Moduli spaces. Frobenius distributions. Complex multiplication. Reduction of curves. (Université de Rennes 1, France) |

Ludwig, Judith | Arithmetic geometry, p-adic Langlands program (Universität Bonn, Germany) |

Malmskog, Beth | Algebraic curves over finite fields, especially maximal curves; zeta functions of finite graphs; and cryptography. (Colorado State University, USA) |

Mantovan, Elena | Shimura varieties. (California Institute of Technology, USA) |

Mânzățeanu, Adelina | Rational points, circle method, Manin's conjecture, function fields (Leiden University, The Netherlands) |

Mase, Makiko | Elliptic fibrations, K3 surfaces |

Matson, Carly | Arithmetic geometry, specifically elliptic curves. (University of Colorado, Boulder, USA) |

Newton, Rachel | Rational points, local-global principles, Brauer-Manin obstructions, class field theory. (University of Reading, UK) |

Niziol, Wieslawa | Arithmetic algebraic geometry: p-adic Hodge theory, Galois representations, p-adic cohomology. (École Normale Supérieure de Lyon, France) |

O’Neil, Catherine | Number Theory, Arithmetic Algebraic Geometry (Barnard College, USA) |

Ozman, Ekin | Arithmetic geometry (Bogazici University, Istanbul, Turkey) |

Park, Jennifer | number theory and algebraic geometry (Massachusetts Institute of Technology, USA) |

Paulhus, Jennifer | algebraic number theory and arithmetic geometry (Grinnell College, USA) |

Pries, Rachel | I study arithmetic geometry, which is a hybrid of number theory and algebraic geometry. My specific area is on Galois theory of curves and torsion of Jacobians in characteristic p. (Colorado State, USA) |

Rebolledo, Marusia | Modular curves, elliptic curves, Galois representations (Université Blaise Pascal Clermont-Ferrand 2) |

Salerno, Adriana | Arithmetic geometry, special functions (Bates College, USA) |

Salgado, Cecília | Arithmetic geometry (Universidade Federal do Rio de Janeiro) |

Scheidler, Renate | cryptography, invariants of global fields (University of Calgary, Canada) |

Schindler, Damaris | Analytic number theory, arithmetic geometry (Hausdorff Center for Mathematics, Bonn, Germany) |

She, Yiwei | Graduate student interested in arithmetic geometry, in particular the arithmetic of algebraic surfaces. (University of Chicago, USA) |

Shipsey, Rachel | Cryptography and elliptic curves. (Goldsmiths College, UK) |

Silverberg, Alice | Number Theory, Cryptography (University of California, Irvine, USA) |

Somoza, Anna | Inverse Jacobian Problem, Theta functions (Université de Rennes 1, France) |

Stange, Katherine | Algebraic number theory, arithmetic geometry, arithmetic of Kleinian groups, elliptic curves, Apollonian circle packings, integer sequences, cryptography, arithmetic dynamics, game theory (University of Colorado, Boulder, USA) |

Stevenson, Katherine | My research is in the areas of in algebraic geometry, ring theory, and group theory. (Cal State, Northridge, USA) |

Thatte, Vaidehee | Ramification theory for arbitrary valuations (SUNY Binghamton, USA) |

Vila Oliva, Núria | Number theory, Galois representations (Universitat de Barcelona) |

Vincent, Christelle | Number theory but more precisely modular forms, Drinfeld modules, Drinfeld modular forms and Drinfeld modular curves, curves and Jacobians with CM, and curves over fields of positive characteristic (University of Vermont, USA) |

Viray, Bianca | algebraic number theory and algebraic geometry (University of Washington, USA) |

Watson, Lori | Arithmetic of algebraic curves (University of Georgia, USA) |

West, Mckenzie | Obstructions to Rational Points, Sage (University of Wisconsin - Eau Claire, USA) |

Wickelgren, Kirsten | algebraic topology, algebraic geometry and number theory (Harvard University, USA) |

Williams, Cassie | Arithmetic geometry (enumerating abelian varieties), algebraic number theory (class numbers, L-series, and characters) (and matrix group theory...) (James Madison University, USA) |

Winter, Rosa | Density of rational points on Del Pezzo surfaces, elliptic fibrations (Leiden University, The Netherlands) |

Wood, Melanie Matchett | My research interests include parametrization of number fields and their ideal classes, counting questions about number fields, and counting questions about algebraic varieties over finite fields. (University of Wisconsin-Madison, USA) |

Yui, Noriko | Arithmetic Algebraic Geometry and Mathematical Physics: in particular, Mirror Symmetry Conjecture. (Queen's University, Canada) |

Zerbes, Sarah | p-adic Hodge theory and Iwasawa theory (University College London, UK) |

Zhu, Hui June | Arithmetic geometry. (The State University of New York at Buffalo, USA) |

**Arithmetic Statistics**[show/hide]

Arithmetic statistics

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

Harron, Piper | arithmetic statistics, shapes of number fields, anything accessible that you want to teach me, smashing oppressive systems (Honolulu, USA) |

Ho, Wei | algebraic geometry, number theory, representation theory (University of Michigan, USA) |

Matchett Wood, Melanie | University of Wisconsin -- Madison, USA |

Miller, Alison Beth | Arithmetic Statistics, Arithmetic Invariant Theory, Connections with Algebraic Knot Invariants (Mathematical Reviews / University of Michigan, USA) |

Newton, Rachel | Rational points, local-global principles, Brauer-Manin obstructions, class field theory. (University of Reading, UK) |

Thompson, Lola | analytic number theory, elementary number theory, applications of sieve methods, computational aspects of field theory and polynomials (Oberlin College, USA) |

Varma, Ila | Arithmetic Statistics and Galois representations (UC San Diego, USA) |

**Cryptography**[show/hide]

Cryptography

Amorós Carafí, Laia | Aalto University, Finland |

Belding, Juliana | algebraic number theory and arithmetic geometry, with an eye towards cryptography (Harvard University, USA) |

Ceria, Michela | Computational Algebra and applications (Università degli Studi di Milano) |

Davis, Rachel | Algebraic number theory, arithmetic geometry, cryptography, Galois representations. (University of Wisconsin, USA) |

Eisentraeger, Kirsten | |

Gorla, Elisa | commutative algebra, coding theory, cryptography (University of Neuchatel, Switzerland) |

Iezzi, Annamaria | Curves over finite fields, Isogeny-based cryptography (University of South Florida, USA) |

Lange, Tanja | Cryptography. (Technische Universiteit Eindhoven, Netherlands) |

Lauter, Kristin | Cryptography, Number Theory, Algebraic Geometry, Coding Theory (Microsoft Research, USA) |

Lorenzo García, Elisa | |

Malmskog, Beth | Algebraic curves over finite fields, especially maximal curves; zeta functions of finite graphs; and cryptography. (Colorado State University, USA) |

Martindale, Chloe | Isogeny-based cryptography (University of Bristol, UK) |

Massierer, Maike | computational number theory, cryptography (University of New South Wales, Australia) |

Matthews, Gretchen | algebraic geometry, especially curves over finite fields, coding theory, cryptography |

Ostafe, Alina | Algebraic aspects of cryptography, Number theoretic aspects of cryptography, Pseudorandom number generators, Polynomial dynamical systems (University of New South Wales, Australia) |

Piršić, Ísabel | quasi-Monte Carlo Methods, Cryptography (Institute of Financial Mathematics and Applied Number Theory, Johannes Kepler Universität Linz, Austria) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Scheidler, Renate | cryptography, invariants of global fields (University of Calgary, Canada) |

Shipsey, Rachel | Cryptography and elliptic curves. (Goldsmiths College, UK) |

Silverberg, Alice | Number Theory, Cryptography (University of California, Irvine, USA) |

Sotakova, Jana | isogeny-based cryptography, post-quantum cryptography (ILLC UvA, QuSoft, Amsterdam) |

Stange, Katherine | Algebraic number theory, arithmetic geometry, arithmetic of Kleinian groups, elliptic curves, Apollonian circle packings, integer sequences, cryptography, arithmetic dynamics, game theory (University of Colorado, Boulder, USA) |

Swart, Christine | Cryptography (University of Cape Town, South Africa) |

Zöbelein, Carolin | Independent mathematical scientist (Freelancer) |

**Diophantine Approximation and Transcendence**[show/hide]

Diophantine approximation and transcendence

Akhtari, Shabnam | Number Theory, Diophantine Analysis and Geometry of Numbers (University of Oregon, USA) |

Allen, Demi | University of Manchester, UK |

Bengoechea, Paloma | ETH Zurich, Switzerland |

Bertin, Marie José | Main current interests: Mahler measure of polynomials defining K3 surfaces. (Institut Mathématique de Jussieu, Université Paris 6, France) |

Goedhart, Eva | Diophantine equations and Thue equations, algebraic number theory, elementary number theory. (Lebanon Valley College, USA) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Schindler, Tanja (Isabelle) | Scuola Normale Superiore, Italy |

Tretkoff, Paula | Number Theory. Geometry, classical and non-commutative. (Texas A&M University, USA) |

Wang, Tzu-Yueh Julie | Academia Sinica, Taiwan |

**Diophantine Equations**[show/hide]

Diophantine equations

Alvarado, Alejandra | Diophantine Equations, Elliptic Curves. (Eastern Illinois University, USA) |

Bernadette, Faye | University of Witwatersrand, South Africa |

Chaves, Ana Paula | Universidade Federal de Goiás |

Faye, Bernadette | Analytic Number Theory and Diophantine Equations (University of Witwatersrand, South Africa) |

Frey, Linda | Arithmetic of abelian varieties of dimension 2 (University of Copenhagen, Denmark) |

Goedhart, Eva | Diophantine equations and Thue equations, algebraic number theory, elementary number theory. (Lebanon Valley College, USA) |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Kundu, Debanjana | University of Toronto |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

**Elementary Number Theory**[show/hide]

Elementary number theory

Anders, Katie | University of Texas at Tyler |

Finch, Carrie E. | My research interests lie in Number Theory. I especially like to work with problems concerning the irreducibility of polynomials and questions regarding Sierpinski numbers using coverings of the integers. (Washington and Lee University) |

Goedhart, Eva | |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Pratha Anuradha Kameswari | Number theory and Cryptography ( Andhra University, India) |

Robertson, Leanne | Algebraic Number Theory, Elementary Number Theory (Seattle University, USA) |

Thompson, Lola | analytic number theory, elementary number theory, applications of sieve methods, computational aspects of field theory and polynomials (Oberlin College, USA) |

Vrioni, Brikena | Number Theory (Polytechnic University of Catalonia, Spain) |

Zöbelein, Carolin | Independent mathematical scientist (Freelancer) |

**Ergodic Theory**[show/hide]

Ergodic theory

Schindler, Tanja (Isabelle) | Scuola Normale Superiore, Italy |

Ziegler, Tamar | Technion - Israel Institute of Technology, Israel |

**Function Fields**[show/hide]

Function fields

Bank, Efrat | Number Theory in Function Fields, Finite Fields, Galois Theory. (University of Michigan, USA) |

Chara, María de los Angeles | Towers of function fields over finite fields and algebraic geometry codes (Universidad Nacional del Litoral, Santa Fe, Argentina) |

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

Florea, Alexandra | Moments and zeros of L-functions over function fields (Columbia University, USA) |

Karemaker, Valentijn | Arithmetic geometry, algebraic number theory (University of Pennsylvania, USA) |

Mânzățeanu, Adelina | Rational points, circle method, Manin's conjecture, function fields (Leiden University, The Netherlands) |

Matthews, Gretchen | algebraic geometry, especially curves over finite fields, coding theory, cryptography |

Quoos, Luciane | Federal University of Rio de Janeiro (UFRJ) |

Sutherland, Nicole | Algebraic Number Theory, Algorithmic and Computational Number Theory, Function Fields (University of Sydney, Australia) |

**Lattices and Coding Theory**[show/hide]

Lattices and coding theory

Amorós Carafí, Laia | Aalto University, Finland |

Bachoc, Christine | I am originally a number theorist, mainly interested in the theory of lattices. I also work in the field of error correcting codes. Currently my favorite topics are sphere packings, discrete geometry, and combinatorial optimization. (University of Borde |

Chara, María de los Angeles | Towers of function fields over finite fields and algebraic geometry codes (Universidad Nacional del Litoral, Santa Fe, Argentina) |

Haensch, Anna | Diophantine representation problems, quadratic lattices, coding theory (Duquesne University, USA) |

Marino, Alicia | quadratic forms, lattice theory (University of Hartford, USA) |

Nebe, Gabriele | Lattices, codes, and their connection to other topics like modular forms and invariant theory, designs and representation theory of finite groups. (RWTH Aachen, Germany.) |

Petersen, Kate | Number theory and topology. (Flordia State University, USA) |

**Modular and Automorphic Forms and Representations**[show/hide]

Modular and automorphic forms and representations

Abdellatif, Ramla | Ecole Normale Supérieure de Lyon , France |

Abdellatif, Ramla | p-modular and p-adic Langlands programs (Université de Picardie Jules Verne, Amiens, France) |

Alfes-Neumann, Claudia | number theory, automorphic forms (University of Paderborn, Germany) |

Arenas, Àngela | Quadratic forms, automorphic forms and Hilbert modular forms. (Universitat de Barcelona, Spain) |

Arnold-Roksandich, Allison | Mock Modular and Quantum Modular Forms (Oregon State University, USA) |

Aubert, Anne-Marie | Institut de Mathématiques de Jussieu - Paris Rive Gauche, CNRS, Sorbonne Université, Université de Paris |

Ballantine, Cristina M. | Number Theory, Representation Theory and Automorphic Forms, Algebraic Combinatorics, Visualization of complex functions. (College of the Holy Cross, MA, USA) |

Bayer Isant, Pilar | Arithmetic geometry, modular curves, galois representations. (Universitat de Barcelona, Spain) |

Beneish, Lea | Modular forms, Mock modular forms, Moonshine |

Bringmann, Kathrin | Number theory and combinatorics involving elliptic and Siegel modular forms, Maass forms, partitions, and mock theta functions. (University of Cologne, Germany) |

Chan, Charlotte | Representation Theory (University of Michigan, USA) |

Cojocaru, Alina Carmen | Number theory. (University of Illinois at Chicago, USA) |

Davis, Rachel | |

DeCelles, Amy | Spectral theory of automorphic forms. (University of St. Thomas, USA) |

Eischen, Ellen | Automorphic forms (University of Oregon, USA) |

Emory, Melissa | Automorphic Representation Theory, Representation Theory of p-adic groups, Number Theory |

Feigon, Brooke | Number theory, Automorphic forms, Representation theory (The City College of New York, USA) |

Fintzen, Jessica | algebraic number theory, representation theory, p-adic groups (University of Michigan, USA, and University of Cambridge, UK and Institute for Advanced Study, USA) |

Folsom, Amanda | Analytic and Algebraic Number Theory, Modular Forms, Maass Forms, Mock Theta Functions, Combinatorics, q-series, Lie Theory, Jacobi forms, Modular units. (Amherst College, USA) |

Frechette, Sharon | Hypergeometric functions over finite field, L-functions, modular forms. (College of the Holy Cross, USA) |

Fuselier, Jenny | Hypergeometric functions over finite fields, modular forms, elliptic curves (High Point University, USA) |

Garthwaite, Sharon | Automorphic forms, partition generating functions (Bucknell University) |

Graves, Hester | Euclidean ideal classes and modular forms. (Queen's University, Ontario, Canada) |

Grundman, Helen G. | Many topics of research (Bryn Mawr College) |

Hahn, Heekyoung | |

Hamieh, Alia | Algebraic number theory, automorphic forms, half-integral weight modular forms and L-functions. (University of Lethbridge, Canada) |

Hamieh, Alia | Algebraic number theory, automorphic forms, half-integral weight modular forms and L-functions. (University of Lethbridge, Canada) |

Hsu, Catherine | Congruences between modular forms, Euclidean ideals (University of Bristol, UK) |

Jameson, Marie | Modular forms and q-series. (University of Tennessee, USA) |

Karen Taylor | Bronx Community College, CUNY (Bronx Community College, CUNY) |

Klinger-Logan, Kim | Spectral Theory of Automorphic Forms (University of Minnesota, USA) |

Kumari Moni | Tata Institute of Fundamental Research Mumbai, India |

Lang, Jaclyn | Images of Galois representations, rank 1 motives (Université Paris 13) |

Lee, Min | Analytic number theory, especially L-functions, automorphic representations, Maass forms. Harmonic analysis. (Brown University, RI, USA) |

Li, Wenching Winnie | number theory, automorphic forms, zeta functions, spectral graph theory, coding theory (Penn State University) |

Long, Ling | Finite Index Subgroups of the Modular Group and Their Modular Forms (Louisiana State University, USA) |

Ludwig, Judith | Arithmetic geometry, p-adic Langlands program (Universität Bonn, Germany) |

Marzec, Jolanta | Modular and automorphic forms and representations (University of Silesia, Poland) (Modular and automorphic forms and representations (University of Silesia, Poland)) |

Maurischat, Kathrin | Number theory, Automorphic/Modular forms, Representation theory (Heidelberg University, Germany) |

Medvedovsky, Anna | modular forms, Hecke algebras, Galois representations, mod-p phenomena (ICERM, USA) |

Ollivier, Rachel | Arithmetic and automorphic forms. (University of British Columbia, BC, Canada) |

Roy, Manami | Elliptic Curves and Paramodular Forms (University of Oklahoma, USA) |

Smajlovic, Lejla | Analytic number theory, L-functions, Selberg class (University of Sarajevo) |

Swisher, Holly | Number theory and combinatorics, including modular and mock modular forms, integer partitions, hypergeometric series. (Oregon State University, USA) |

Tanabe, Naomi | Number Theory, Representation Theory, Automorphic Forms, L-functions. (Dartmouth College, USA) |

Thompson, Kate | Quadratic forms, modular forms, quaternion algebras. (DePaul University, USA) |

Treneer, Stephanie | Modular forms, number theory, theory of partitions. (Western Washington University, USA) |

Tretkoff, Paula | Number Theory. Geometry, classical and non-commutative. (Texas A&M University, USA) |

Tu, Fang-Ting | Number theory: modular forms and hypergeometric functions. (Louisiana State University, USA) |

Varma, Ila | Arithmetic Statistics and Galois representations (UC San Diego, USA) |

Vincent, Christelle | Number theory but more precisely modular forms, Drinfeld modules, Drinfeld modular forms and Drinfeld modular curves, curves and Jacobians with CM, and curves over fields of positive characteristic (University of Vermont, USA) |

Walling, Lynne | Modular forms. (University of Bristol, UK) |

Wieczorek, Maggie | Modular forms and partition theory (University of Tennessee, USA) |