Find Academic Supervisors

Christopher KeyesView profile

Researcher

• Arithmetic Statistics
• Arithmetic Geometry
• Number Theory
• +3 more

Dr. Christopher Keyes is a Heilbronn Research Associate in the Department of Mathematics at King’s College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He earned his PhD in Mathematics from Emory University in 2023 under David Zureick-Brown and holds a BS in Mathematics and Chemical Engineering from Tufts University (2018). Research Focus: Arithmetic statistics, arithmetic geometry, and number theory. Key Interests: Distribution of arithmetic objects (primes, number fields, points on varieties), local-global principles, and superelliptic curves. His research explores questions like the density of locally soluble equations and the distribution of rational points. Notable work includes contributions to arithmetic statistics and the study of solutions to Diophantine equations. Teaching and Mentoring: Instructed courses at Emory University and King’s College London, including Calculus and graduate-level arithmetic statistics. Actively mentors students through programs like the Directed Reading Program, focusing on topics such as elliptic curves, p-adic numbers, and baseball analytics. Outreach: Co-organized the Emory Math Circle and events like the Julia Robinson Math Festival, engaging K-12 students in mathematics.

Bella TobinView profile

Assistant Professor

• Number Theory
• Arithmetic Dynamics
• Arithmetic Geometry
• +7 more

Bella Tobin is an Assistant Professor of Mathematics in the Department of Mathematics at Agnes Scott College, located in Atlanta, Georgia. She is affiliated with the College of Arts and Sciences and actively contributes to both research and undergraduate education in pure mathematics. BSc in Mathematics, University of Vermont MA in Mathematics, University of Hawaii PhD in Mathematics, University of Hawaii (2019) Her primary research interests lie in number theory and arithmetic dynamics , with a focus on post-critically finite maps, dynamical Belyi maps, and the interplay between arithmetic dynamics and arithmetic geometry. She explores deep structural properties of polynomial and rational dynamical systems over number fields and non-archimedean fields, particularly through equidistribution phenomena and algebraic invariants. The recent publications highlight a consistent trend in arithmetic dynamics and modular forms , combining tools from algebraic geometry, Galois theory, and p-adic analysis. Her work often involves collaborative efforts across institutions, focusing on irreducibility, supercongruences, and stochastic aspects of adelic measures. These contributions place her at the intersection of pure number theory and dynamical systems. She has been actively involved in the academic community through speaking engagements and organizing special sessions, including at the AWM Research Symposium and regional number theory conferences. Bella Tobin has held postdoctoral positions at Oklahoma State University (2019–2022) and Oregon State University (2022–2023), working with Paul Fili and Clay Petsche respectively. She continues summer collaborations with Thrive Scholars, indicating ongoing mentorship and outreach. While formal advisees are not listed, her collaborative research suggests strong engagement with junior mathematicians and students. She maintains a research presence through her personal website and arXiv publications, and is committed to inclusive and accessible mathematics education, aiming to make the subject approachable and engaging for all students.

Ivan B. PenkovView profile

Adjunct Professor

• Lie Theory
• Representation Theory
• Algebraic Geometry
• +2 more

Ivan B. Penkov is an Adjunct Professor of Mathematics at Constructor University Bremen, Germany, with a distinguished career in Lie theory, representation theory, and algebraic geometry. He earned his Master's degree from Moscow State University (1982) and Ph.D. from Steklov Mathematical Institute (1987). His academic journey includes tenured professorships at the University of California at Riverside (1991-2004) and a long-standing professorship at Jacobs University Bremen (2004-2023), followed by his current adjunct role. Education: Master in Mathematics, Moscow State University (1982) Candidate of Physical and Mathematical Sciences (PhD), Steklov Mathematical Institute (1987) Penkov's research focuses on representations of finite and infinite-dimensional Lie algebras and superalgebras, generalized Harish-Chandra modules, geometry of supermanifolds, and homogeneous ind-spaces. His work bridges pure mathematics with mathematical physics, emphasizing infinite-dimensional structures and their applications. Recent publications highlight advancements in bounded weight modules for Lie superalgebras at infinity, topological tensor representations, and automorphism groups of ind-varieties of generalized flags. These works reflect his deep engagement with categorification, geometric methods, and infinite-dimensional algebraic structures. Scientific awards and grants include multiple NSF and DFG grants, a Volkswagen Foundation grant, and the Batsheva de Rothschild Fellowship (2023). He has coorganized significant conferences and programs, such as the California Lie Theory Program and the German-Israeli workshop on symplectic geometry and representation theory. Penkov's advisees include PhD and MSc students like Aleksandr Fadeev, Elitza Hristova, Siarhei Markouski, and Todor Milev, many of whom have contributed to Lie theory and algebraic geometry. He has also mentored postdocs and collaborated with institutions worldwide, including Yale University, UC Berkeley, and the Max Planck Institute of Mathematics in Bonn.

Pierre BienvenuView profile

Researcher

• Arithmetic Combinatorics
• Number Theory
• Additive Combinatorics
• +4 more

Pierre Bienvenu is a Research Scientist at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), part of the Austrian Academy of Sciences, since June 2025. Previously, he held postdoctoral positions at the Technische Universität Graz (2021-2022), the Max Planck Institute for Mathematics in Bonn (2020-2021), and the Institut Camille Jordan in Lyon/St-Etienne (2018-2020). He also served as a Teaching Fellow at Trinity College Dublin (2022-2023) and as a Lecturer at the American University in Paris in Spring 2018. His educational background includes a PhD in Mathematics from the University of Bristol (2014-2018), supervised by Julia Wolf, with a thesis titled "Linear, bilinear and polynomial configurations in function fields and the primes." Bienvenu's research lies at the intersection of arithmetic combinatorics, number theory, and harmonic analysis. He employs analytic, combinatorial, probabilistic, and algebraic methods to study problems in additive combinatorics, such as configurations in prime numbers, sum-product estimates, and density of sumsets. His work has strong connections to ergodic theory and theoretical computer science, particularly in pseudorandomness and error-correcting codes. His recent publications, spanning from 2017 to 2025, focus on density constraints, intersective sets, power monoids, and transference principles in additive combinatorics. These works often involve deep applications of higher-order Fourier analysis and the Green-Tao method, addressing fundamental questions about the structure of sets of integers and primes. As a member of RICAM, Bienvenu contributes to the institute's research groups in computational mathematics and number theory, collaborating with an international network of mathematicians on cutting-edge problems in arithmetic combinatorics.

Yifei ZhaoView profile

Researcher

• Arithmetic Geometry
• Langlands Program
• Cohomology Theories
• +6 more

Dr. Yifei Zhao is an academic researcher at the Mathematical Institute , University of Münster , Germany, within the Department of Mathematics and Computer Science. His work bridges arithmetic geometry, algebraic topology, and representation theory through advanced cohomology theories and geometric Langlands program research. Position: Fixed-term Academic Councilor (Akademischer Rat auf Zeit) Contact: yifei.zhao@uni-muenster.de , +49 251 83-35172, Room 100,008 Research focuses on: Langlands Correspondences : Extending to p-adic coefficients, derived categories, and geometric unification via motivic methods Moduli Spaces : Geometry of local shtukas, étale sheaves, and their cohomological properties Topological Recursion : Connections to free probability and Baker–Akhiezer kernels Cohomology Theories : Unifying étale, crystalline, and de Rham cohomology in mixed characteristics His current projects include CRC 1442 A05/D03 and EXC 2044 A1 , with publications in journals like Compositio Mathematica and Journal of the European Mathematical Society . Collaborators include James Tao and Luozi Shi. Detailed lecture notes on scheme theory and geometric Langlands are available from his courses and winter school contributions.

Sandro BettinView profile

Professor

• Mathematical Analysis
• Number Theory
• Elliptic Curves
• +4 more

Sandro Bettin is a Full Professor at the Department of Mathematics (DIMA) within the University of Genoa, actively contributing to the School of Mathematical, Physical and Natural Sciences. He coordinates the PhD program in Mathematics and serves on both the School Council and Department Board. His research focuses on intersections of mathematical analysis and number theory, particularly in areas like quantum modular forms , continued fractions , and value distribution theory . His recent work explores connections between number theory and quantum invariants from knot theory, utilizing tools from operator theory. Publications highlight trends in analytic number theory , modular forms , and probabilistic methods , with applications to hyperbolic geometry and elliptic curve theory. He has held administrative roles in graduate education and departmental governance.

Taylor DupuyView profile

Assistant Professor

• Arithmetic Geometry
• Differential Algebra
• Applied Model Theory
• +3 more

Taylor Dupuy is an Assistant Professor at the University of Vermont in the Department of Mathematics and Statistics within the College of Engineering and Mathematical Sciences. His research bridges arithmetic geometry, differential algebra, and applied model theory. Expertise in Arithmetic Geometry , focusing on abelian varieties and Mochizuki's work Contributions to Differential Algebra through p-differentials and differential equations Applications in Applied Model Theory for mathematical logic Recent publications examine topics like Ford spheres, angle ranks of abelian varieties, and extensions of the Abel-Jacobi map. His work connects number theory with geometric frameworks and computational verification. He teaches courses such as MATH 6441: Theory of Functions of Complex Variables and MATH 2248: Calculus III .

Terence Chi-Shen TaoView profile

Professor

• Harmonic analysis
• Partial differential equations
• Algebraic combinatorics
• +5 more

Terence Tao is an Australian-American mathematician and professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences. Widely regarded as one of the greatest living mathematicians, Tao has received numerous prestigious awards including the Fields Medal, the Breakthrough Prize in Mathematics, and the MacArthur Fellowship. Dr. Tao's educational background includes: Bachelor's and Master's degrees from Flinders University (1991) Ph.D. from Princeton University (1996) under Elias M. Stein Tao's research spans an extraordinary breadth of mathematical fields. He is particularly known for his work in harmonic analysis, partial differential equations, combinatorics, and analytic number theory. His research has included groundbreaking contributions to compressed sensing, the Green-Tao theorem on arithmetic progressions in prime numbers, and progress on the Navier-Stokes equations. Tao is renowned for his collaborative approach, having worked with over 60 co-authors throughout his career. Tao's publications demonstrate remarkable diversity across mathematical disciplines. His work shows strong trends in connecting seemingly disparate areas of mathematics, often bringing techniques from one field to solve problems in another. He has made significant contributions to both theoretical and applied mathematics, with applications ranging from signal processing to number theory. Among his numerous scientific achievements, Tao has received: Fields Medal (2006) Breakthrough Prize in Mathematics (2014) Royal Medal (2014) MacArthur Fellowship (2006) Crafoord Prize (2012) Princess of Asturias Award (2020) Tao has mentored numerous students throughout his career, with Monica Vișan among his doctoral students. He has secured significant research funding through prestigious awards including the Packard Fellowship, Sloan Fellowship, and Simons Investigator award. His collaborative research has been supported by multiple National Science Foundation grants. Tao maintains an active research group at UCLA and frequently collaborates with mathematicians worldwide. His blog and public lectures have made advanced mathematical concepts accessible to broader audiences, demonstrating his commitment to mathematical education and outreach.

Vincent LafforgueView profile

Researcher

• Mathematics
• Algebraic Geometry
• Langlands Program
• +6 more

Vincent Lafforgue is a CNRS Researcher at the Institute Fourier , Université Grenoble Alpes, specializing in Algebraic Geometry and the Langlands Program . His work bridges mathematical physics , K-theory , and non-Archimedean geometry . Notably, he proved the Baum-Connes conjecture for certain discrete groups and established global Langlands correspondence for function fields. Education : Lycée Louis-le-Grand, École normale supérieure, University of Paris Advisor : Jean-Benoît Bost His research spans geometric representation theory , operator algebras , and geometric group theory . Recent publications focus on Shtukas for reductive groups and their role in global Langlands parameterization. Earlier works include proofs of property (T) variants and counterexamples to the Baum-Connes conjecture. Scientific awards include: EMS Prize (2000) CNRS Silver Medal (2015) Breakthrough Prize in Mathematics (2019) Lafforgue served as Plenary Speaker at ICM 2018 and co-organized the 2010 meeting Groups and Large-Scale Geometry . His technical contributions extend to p-adic valuations and automorphic form eigenvalues .

• Foundations of Complex Systems
• Abelian Varieties
• Finite Fields
• +5 more

Valentijn Karemaker is an Assistant Professor at the Faculty of Science, Utrecht University , specializing in the Mathematical Institute under the Fundamental Mathematics sub-unit. He focuses on the Foundations of Complex Systems , with particular expertise in Abelian Varieties , Finite Fields , Galois Representations , and Isogeny Classes . His research bridges theoretical mathematics and computational methods, notably contributing to problems like Hilbert's Tenth Problem and the Gauss problem for central leaves . He has published extensively in top-tier journals and co-authored significant surveys on local-global principles. Scientific Awards : NWO-Veni Award (2019) Westerdijk Award (2021-2022) Utrecht Young Academy (2021) NWO-XL Award (2022) NWO-Vidi Award (2023) Grants and Collaborations : He has received competitive NWO awards, hosted international researchers like Chia Fu Yu and Mihran Papikian, and contributed to editorial work for the American Mathematical Society.

Peter KoymansView profile

Research Fellow

• Arithmetic Statistics
• Analytic Number Theory
• Algebraic Number Theory
• +3 more

Peter Koymans is a Research Fellow at Utrecht University's Mathematical Institute, funded by a Veni grant for "New methods in arithmetic statistics." He holds a PhD from Leiden University, supervised by Jan-Hendrik Evertse and Peter Stevenhagen. Koymans serves as an editor for Indagationes Mathematicae and organizes academic seminars on anabelian geometry and arithmetic statistics. His research focuses on arithmetic statistics , analytic number theory , and algebraic number theory , with emphasis on Diophantine equations, class groups, and elliptic curves. Key methodologies include combinatorial approaches to Hilbert's 10th problem, distribution analysis of class groups, and the study of binary forms. Koymans' publications demonstrate consistent focus on: Advanced techniques in arithmetic statistics (e.g., torsion bounds, distribution theorems) Diophantine problems (Fermat equations, integral points) Algebraic structures (elliptic curves, binary forms) Interdisciplinary connections with algebraic geometry and logic Awards: Veni Grant (NWO) Student Advising: Supervised 5+ graduate students including Margherita Piccolo (2019) and Joel Sommer (2024). Coordinates seminars and reading groups for early-career researchers. Collaborations: Leads the WASP (Workshop on Arithmetic Statistics Problems) initiative and maintains extensive co-author networks across Europe and North America.

Alexander PetrovView profile

Research Fellow

• Number Theory
• Algebraic Geometry
• Galois Representations
• +1 more

Dr. Alexander Petrov is a Research Fellow at the Massachusetts Institute of Technology (MIT). He will obtain his PhD in Mathematics from Harvard University in 2022, where he was advised by Professor Mark Kisin. Petrov's research focuses on advanced topics in number theory and algebraic geometry. Proved geometrically irreducible arithmetic local systems on varieties over p-adic fields are essentially de Rham (settling Litt's conjecture) Generalized Belyi's theorem to show irreducible Galois representations appear in algebraic functions on the thrice punctured sphere's fundamental group Provided counterexamples to Scholze's conjecture on Hodge symmetry for rigid analytic varieties He was appointed as a Clay Research Fellow starting July 1, 2022, for a five-year term.

• automorphic forms
• representation theory
• number theory

Melissa Emory serves as an Assistant Professor in the Department of Mathematics at Oklahoma State University's College of Arts and Sciences. Previously, she held an NSF Postdoctoral Fellowship at the University of Toronto under James Arthur and completed her PhD at the University of Missouri in 2018 under Shuichiro Takeda. Her academic journey includes: PhD in Mathematics, University of Missouri (2018) Dr. Emory's research centers on automorphic forms, representation theory, and number theory, with specialized focus on the Gan-Gross-Prasad conjecture, Sato-Tate distributions, and general spin groups. Her work bridges abstract representation theory with concrete Diophantine problems, emphasizing multiplicity one theorems and endoscopic classification. She actively contributes to foundational questions in automorphic representations and their arithmetic applications. Analysis of her publications reveals consistent exploration of automorphic L-functions and their distribution properties, with recent work expanding into Jacobian varieties and Poisson summation techniques. Her research trajectory demonstrates increasing collaboration across international institutions while maintaining core focus on representation-theoretic approaches to number theory. Her scientific recognition includes: NSF Postdoctoral Fellowship As faculty adviser for the OSU Chapter of the Association for Women in Mathematics, she supports gender equity in mathematics. She organizes major conferences including the Automorphic Forms Workshop (2024), TORA XIV (2025), and the James Arthur Legacy Conference (2025), creating platforms for emerging researchers. Her teaching includes actuarial science courses with direct industry exam preparation components. Dr. Emory maintains active leadership in the automorphic forms community through conference organization, collaborative research, and mentorship initiatives that connect theoretical mathematics with practical career development.

Sehun JeongView profile

Visiting Assistant Professor

• Algebra
• Number Theory
• Geometry of Numbers
• +3 more

Sehun Jeong serves as a Visiting Assistant Professor in the Department of Mathematical Sciences, specializing in algebraic structures and number-theoretic applications. His research bridges theoretical mathematics with geometric interpretations. His academic credentials include: B.S. from University of California, Irvine M.S. from California State University, Long Beach Ph.D. from Claremont Graduate University Research focuses on algebraic number theory, geometry of numbers, lattice theory, and Diophantine approximation, with emphasis on height functions and quadratic forms. His work explores structural properties of number fields through geometric and combinatorial frameworks, particularly investigating ideals and polynomial zeros within lattice constraints. Teaching portfolio spans Calculus sequences, Linear Algebra, Abstract Algebra, and Number Theory courses. Recent publications demonstrate consistent exploration of Diophantine problems and lattice-based number theory, featuring innovative approaches to height minimization and sublattice avoidance in quadratic contexts. Key contributions appear in specialized journals like The Ramanujan Journal and Combinatorics and Number Theory.

Hayssam El-RazoukView profile

Associate Professor

• Hardware Security
• Cryptographic Hardware
• VLSI Circuits Design
• +5 more

Hayssam El-Razouk serves as Associate Professor in the Electrical and Computer Engineering Department at California State University, Fresno within the Lyles College of Engineering. He holds a PhD in Electrical and Computer Engineering from Western University (2015) and maintains active industry connections through prior roles at IBM Canada and RedIron Technologies. Education: PhD in Electrical and Computer Engineering, Western University, London, Ontario, Canada (2015) MESc in Electrical and Computer Engineering, Western University, London, Ontario, Canada (2006) BEng in Electrical and Computer Engineering, Beirut Arab University, Beirut, Lebanon (2002) - First Rank Research Focus: Dr. El-Razouk's work centers on Hardware Security and Cryptographic Hardware , with significant contributions to VLSI Circuits Design for finite field arithmetic. His research bridges theoretical cryptography with practical implementations, emphasizing defect tolerance in digital circuits, data compression techniques, and pseudo-random sequence generation for secure communications. Current projects address emerging threats in embedded systems and IoT security. Publication Trends: Analysis of his 15 most recent publications (2025-2016) reveals consistent specialization in GF(2^m) arithmetic optimization using Gaussian Normal Basis and Polynomial Basis representations. His work demonstrates progressive refinement from foundational finite field operations (2016-2019) toward integrated security solutions (2020-2025), with increasing focus on side-channel attack resistance and hardware-software co-design for real-world applications including automotive systems and smart homes. Scientific Recognition: Natural Sciences and Engineering Research Council (NSERC) Canada Graduate Scholarship-Doctoral (2011-2015) Best Presenter Award, IEEE CCWC 2023 Best Paper Award, IEEE CCWC 2021 Outstanding Faculty Publication Award, CSU Fresno (2019, 2020) Jamal Abdul Nassir Golden Medal Distinction Award (2002) Research Funding and Mentorship: Dr. El-Razouk secured a $378,002 Department of Defense grant (W911NF-21-1-0210) in 2021 for hardware security research. He teaches core courses including ECE 150 (Cloud and Cybersecurity) and ECE 156 (Cryptography), supervising senior design projects on topics like RFID security and temperature monitoring systems. As an IEEE and ASEE member, he actively contributes to conference program committees and journal reviews.