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Algebraic number theory

- Agathocleous, Eleni Algebraic and Algorithmic Number Theory: computation of the order and the structure of the ideal class group of number fields. Currently investigating possible applications in isogeny-based cryptography.
- Albayrak, Seda interactions of number theory with theoretical computer science (University of Calgary, Canada)
- 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 (Bucknell University, USA)
- Bilhan, Mehpare Middle East Technical University, Ankara, Turkey
- Bilici, Duygu Ozden Irreducible polynomials over finite fields, algebraic number theory. (Istanbul University, Turkey.)
- Borade, Neelima Number theory and algebraic geometry, Princeton University
- Cantoral Farfan, Victoria Arithmetic geometry
- 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)
- Davidoff, Giuliana Automorphic Forms, Algebraic Number Theory (Mount Holyoke College)
- Davis, Rachel Algebraic number theory, arithmetic geometry, cryptography, Galois representations. (University of Wisconsin, USA)
- de Frutos Fernández, María Inés Formalization of Algebraic Number Theory (Imperial College London, UK)
- 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)
- Gherga, Adela Computing elliptic curves over Q (University of Warwick, England)
- Goedhart, Eva Diophantine equations, Thue equations, happy numbers, parking functions (Franklin & Marshall College, Lancaster, PA)
- 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 (IAS/Princeton/UMich)
- Hsu, Catherine Congruences between modular forms, Euclidean ideals (University of Bristol, UK)
- Hsu, Chi-Yun Eigenvarieties, Euler systems (UCLA, USA)
- Karemaker, Valentijn Arithmetic geometry, algebraic number theory (Utrecht University, Netherlands)
- Kezuka, Yukako Number theory, Iwasawa theory, arithmetic geometry (Universität Regensburg, Germany)
- Kim, Seoyoung Rank of Jacobian of curves, Queen's University, Canada
- Kılıçer, Pınar Algorithmic and algebraic number theory, algebraic curves, complex multiplication (University of Groningen)
- Kuang, Yu Galois-Gauss sums for weakly ramified characters (King's College London, UK)
- Kundu, Debanjana Iwasawa Theory, PhD (University of Toronto)
- Lang, Jaclyn Galois representations and modular forms (Temple University, Philadelphia)
- Leal, Isabel Arithmetic geometry, algebraic number theory (University of Chicago)
- Leem, Sumin Solving norm equations using compact representations (University of Calgary, Canada)
- 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)
- Maughan, Krystal Isogeny Based Cryptography (University of Vermont, USA)
- Medvedovsky, Anna modular forms, Hecke algebras, Galois representations, mod-p phenomena (Boston University, 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)
- Patel, Vandita Explicit resolution of exponential Diophantine equations (The University of Manchester, UK)
- 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)
- Sahajpal, Nandita Algebraic Theory of Quadratic Forms, Nevada State College, 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, elliptic curve, lattice and isogeny-based cryptography, arithmetic dynamics (University of Colorado, Boulder, USA)
- Stojanoska, Vesna homotopy theory and applications to arithmetic (University of Illinois Urbana-Champaign, USA)
- Sudarshan, Aniruddha Galois representations (Temple University)
- Supino, Paola Algebraic Geometry, Roma Tre University
- Sutherland, Nicole Algebraic Number Theory, Algorithmic and Computational Number Theory, Function Fields (University of Sydney, Australia)
- Thalagoda, Kalani Modular forms over Number Fields (University of North Carolina at Greensboro)
- Thatte, Vaidehee Ramification theory for arbitrary valuation fields (King's College London, UK)
- Tobin, Bella Arithmetic dynamics and Belyi maps, University of Hawai'i, USA
- Trimoska, Monika Post-quantum cryptography (Radboud University, The Netherlands
- 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)
- Ure, Charlotte Algebraic Number Theory and Algebraic Geometry (University of Virginia, USA)
- VALENTINO, Maria Iwasawa theory, Drinfeld modular forms, Beilinson-Bloch-Kato conjecture (University of Calabria, Italy)
- Varma, Ila Arithmetic Statistics and Galois representations (UC San Diego, USA)
- Vrioni, Brikena Number Theory (Polytechnic University of Catalonia, Spain)
- Wang, Tian Lang-Trotter Conjecture, Serre's Uniformity Question (University of Illinois at Chicago, USA)
- 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. (Harvard University, USA)
- Xiao, Luciena Shimura Varieties and Langlands Program (University of Helsinki, Finland)
- Zemkova, Kristyna Quadratic Forms (TU Dortmund, Germany)
- Zhao, Xiaomei Function fields. (University of Waterloo, Canada)

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