Find Academic Supervisors

• Algebra
• Geometry
• Topology
• +5 more

Jonas Bergström is a Professor in the Department of Mathematics at Stockholm University specializing in Algebra, Geometry, Topology, and Combinatorics. His research focuses on arithmetic geometry, moduli spaces, Siegel modular forms, and number theory, with extensive collaborations across international institutions including KTH Royal Institute of Technology. His research interests span algebraic geometry, topology, combinatorics, and number theory, with particular emphasis on moduli spaces of curves, abelian varieties, Siegel modular forms, and arithmetic geometry. Bergström's work bridges theoretical mathematics with computational approaches, often developing algorithms for complex mathematical structures. His research group actively explores commutative and homological algebra, complex and real algebraic geometry, arithmetic geometry, homotopy theory, and Ramsey theory. The most recent publications reveal a strong focus on cohomology of moduli spaces, Siegel modular forms, abelian varieties over finite fields, and L-functions. His work demonstrates a consistent pattern of combining algebraic geometry with number theory, particularly investigating arithmetic properties of algebraic varieties and developing computational methods for modular forms. The research shows increasing emphasis on algorithmic approaches and connections to theoretical physics through moduli space cohomology. Bergström has supervised several PhD students including Sjoerd de Vries (current), Stefano Marseglia, and Olof Bergvall (with Prof. Carel Faber). He currently mentors postdoctoral researchers Séverin Philip and Thomas Wennink, while former postdocs include Angelina Zheng, Valentijn Karemaker, Oliver Leigh, and Alex Samuel Bamunoba. His research is supported through collaborations with major mathematical networks including the Nordic number theory network and joint seminars with KTH. He is affiliated with the Algebra and Geometry Seminar (KTH and SU) and maintains active research connections through multiple collaborative projects, including joint work with Gerard van der Geer and Carel Faber on Hecke operators and Siegel modular forms. Bergström also contributes to open mathematical research through GitHub repositories containing computational results on cohomology of moduli spaces.

Victor FlynnView profile

Professor

• Number Theory
• Arithmetic Geometry
• Abelian Varieties
• +3 more

Victor Flynn is a Professor at the Mathematical Institute, University of Oxford, specializing in Number Theory and Arithmetic Geometry. He holds a PhD from the University of Cambridge and leads research in the Number Theory group at Oxford's Mathematical Institute, located at the Andrew Wiles Building. His research focuses on: Abelian varieties and Jacobians of curves Structure and visualization of Shafarevich-Tate groups Brauer-Manin obstructions in Diophantine equations Cryptographic applications of isogenies in genus two curves Arithmetic properties of algebraic surfaces and coverings Recent publications demonstrate a consistent focus on Tate-Shafarevich groups, with 2023-2024 works exploring p-torsion growth and Kummer surface isogenies. His research connects arithmetic geometry with post-quantum cryptography, particularly through genus two isogeny constructions.

Samit DasguptaView profile

Professor

• Algebraic Number Theory
• L-functions
• Arithmetic Geometry
• +3 more

Samit Dasgupta is the James B. Duke Distinguished Professor of Mathematics at Duke University's Trinity College of Arts & Sciences since 2018. His research focuses on algebraic number theory , particularly the explicit construction of units in number fields, points on abelian varieties, and connections to special values of L-functions including Stark's conjectures , Birch-Swinnerton-Dyer , and Beilinson's conjectures . He has made significant progress on the Brumer-Stark conjecture and its refinements, as well as the Gross-Stark conjecture for p-adic L-functions. Education : Ph.D. from University of California, Berkeley (2004), A.B. from Harvard University (1999) Research Highlights : His recent work includes proving the p-part of the integral Gross–Stark conjecture (2024), analyzing Brumer-Stark units (2023), and extending Eisenstein cocycle theory to GL_n. His publications span topics from factorization of p-adic L-series to mock Heegner points and Shintani zeta functions , demonstrating deep connections between number theory and modular forms. Grants & Awards : NSF RTG Grant: "Linked via L-functions: training versatile researchers across number theory" (2023–2028) NSF Grant: "The Brumer-Stark Conjecture and its Refinements" (2022–2027) NSF Grant: "Beyond L-functions: the Eisenstein Cocycle and Hilbert's 12th Problem" (2019–2022) NSF CAREER Award (2010) Sloan Fellowship (2009) Advising & Teaching : He has advised graduate students including Michael Daub, Mitchell Owen, and Shawn Tsosie. Recent courses include Number Theory , Mathematical Cryptography , and advanced topics in linear algebra.

• Algebraic Geometry
• Topology
• Homotopy Theory
• +6 more

Frank Neumann is a researcher affiliated with the University of Pavia , specifically within the Algebra and Geometry research group. His work focuses on advanced topics in algebraic geometry, topology, and homotopy theory, particularly moduli stacks, principal bundles, and spectral sequences. Research Areas : Algebraic Geometry, Homotopy Theory, Moduli Stacks, Principal Bundles, Topology, Arithmetic Geometry. The titles of his recent publications highlight his contributions to cohomology theories, geometric structures, and their interactions with number theory and differential geometry. His work often bridges abstract algebraic geometry with topological and homotopical methods. Despite no explicit mention of awards or student supervision in the provided texts, his research outputs indicate sustained engagement with foundational mathematical problems. He is contactable via email at frank.neumann@unipv.it .

Mehtaab SawhneyView profile

Assistant Professor

• combinatorics
• probability
• analytic number theory
• +1 more

Mehtaab Sawhney is a Clay Research Fellow and a tenure-track assistant professor at Columbia University specializing in combinatorics, probability, analytic number theory, and theoretical computer science. His academic journey began at the University of Pennsylvania where he enrolled in a Bachelor of Engineering in Computer Science (2016-2017), then continued at MIT where he earned a Bachelor of Science in Mathematics with Minor in Computer Science (2017-2020), followed by a Doctor of Philosophy in Mathematics (2020-2024) under the advisorship of Yufei Zhao. His research spans probabilistic combinatorics, random matrix theory, additive number theory, and theoretical computer science. Sawhney's work bridges theoretical mathematics with computational applications, focusing on random structures, additive combinatorics, and spectral properties of discrete objects. His publications demonstrate a strong interdisciplinary approach that connects number theory with probabilistic methods to solve complex combinatorial problems. The analysis of his publication record reveals a consistent focus on foundational mathematical structures with applications across multiple domains. His work on random graphs, additive bases, and arithmetic progressions has established him as a leading researcher in modern combinatorics, often collaborating with prominent mathematicians including Ashwin Sah, Yufei Zhao, and Vishesh Jain. His research output shows remarkable depth and breadth, with contributions to both pure mathematics and theoretical computer science. 2024 Clay Research Fellow 2021 Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student (joint with Ashwin Sah) Churchill Scholar 2020 Best Student Paper STOC 2021 (Joint with Ryan Alweiss, Yang Liu) Best Student Paper ITCS 2022 (Joint with Yang Liu, Ashwin Sah) 2023 Hartley Rogers Jr. Prize 2022 Charles W. and Jennifer C. Johnson Prize (joint with Ashwin Sah) NSF Graduate Fellowship Sawhney has established a robust research program with significant contributions across multiple mathematical disciplines. His frequent collaborations with top researchers worldwide indicate an active and influential research network. While specific advisees aren't listed in available information, his extensive publication record with numerous co-authors suggests active mentorship of junior researchers through collaborative projects.

Stefan WewersView profile

Professor

• Algebraic Geometry
• Number Theory
• Arithmetic Geometry
• +9 more

Stefan Wewers is a Professor at Ulm University, affiliated with the Institute of Algebra and Number Theory. His research spans advanced topics in Algebraic Geometry and Number Theory, with a focus on computational and theoretical challenges. His research interests include: L-functions and their functional equations Semistable reduction of curves Cyclic extensions and local lifting problems Wild ramification in number fields Nonabelian Chabauty methods Mixed Tate motives Recent publications highlight his contributions to wild ramification (2016), explicit Chabauty-Kim theory (2015), cyclic extensions (2014), and L-functions of hyperelliptic curves (2015). His work often bridges computational techniques with deep theoretical questions in arithmetic geometry. Supervised lectures include courses in Algorithmic Algebra, Linear Algebra, and advanced seminars in Algebra and Number Theory (2017–2023). No scientific awards are listed in the available data.

Rachel NewtonView profile

Associate Professor

• Number Theory
• Rational points on algebraic varieties
• Local-global principles
• +3 more

Rachel Newton is a Reader (Associate Professor) in Number Theory at King’s College London’s Department of Mathematics, part of the Faculty of Natural, Mathematical & Engineering Sciences. She holds a Future Leaders Fellowship from UKRI. Her research focuses on rational points on algebraic varieties, local-global principles, Brauer groups, and arithmetic statistics. Education: PhD in Mathematics from the University of Cambridge (2012 under Tim Dokchitser), followed by postdoctoral positions at Universiteit Leiden, Max Planck Institute for Mathematics (MPIM Bonn), and IHÉS. Previously, she held roles at the University of Reading. Research interests include: Brauer-Manin obstructions and transcendental Brauer groups Genus numbers of abelian fields Prescribed norms in number fields Applications of machine learning to modular multiplication Grants: Active projects include a UKRI Future Leaders Fellowship (2021-2025) and EPSRC funding (2021-2022). Her work bridges arithmetic statistics with cohomological methods. Labs/Teams: Collaborates internationally on Diophantine equations and local-global principles. Her research contributes to King’s strong number theory tradition.

Nathan McNewView profile

Associate Professor

• Cryptography
• Combinatorics
• Analytic Number Theory
• +3 more

Nathan McNew is an Associate Professor in the Department of Mathematics at Towson University. His research focuses on Cryptography, Combinatorics, and Analytic Number Theory, with notable contributions to prime factor distribution, geometric progression-free sets, and divisor graph analysis. He holds a Ph.D. in Mathematics from Dartmouth College (2015) and a B.S. in Mathematics from the University of Denver (2010). Education Ph.D., Mathematics, Dartmouth College, 2015 B.S., Mathematics, University of Denver, 2010 Research Interests McNew’s work bridges combinatorial methods with number-theoretic problems, particularly in analyzing distributions of prime factors, geometric progression avoidance, and multiplicative structures in integers. Recent studies include: Intermediate prime factor distributions in number fields Powerfree polynomial behavior in finite fields Explicit bounds for gaps between square/cubefree integers Grants & Advising While specific grants are not detailed here, his research has been supported through collaborative projects. No advisees are listed in current records. Labs/Teams McNew collaborates actively with institutions like Dartmouth College and the University of Denver on analytic number theory projects. His work often involves interdisciplinary approaches combining algebraic, combinatorial, and probabilistic techniques.

Steffen MüllerView profile

Associate Professor

• Arithmetic Geometry
• Diophantine Geometry
• Number Theory
• +2 more

Steffen Müller is an Associate Professor in the Department of Algebra at the Faculty of Science and Engineering, University of Groningen. His research focuses on arithmetic geometry, particularly explicit methods in diophantine geometry. He holds a PhD from Universität Bayreuth (2010) and has held positions at the Universität Hamburg (Postdoc, 2010–2013) and Universität Oldenburg (Juniorprofessor, 2014–2017). Education: PhD in Mathematics, Universität Bayreuth, 2010 Postdoctoral Research, Universität Hamburg, 2010–2013 Research Interests: Müller specializes in arithmetic geometry, with a focus on quadratic Chabauty methods, p-adic adelic metrics, and explicit computation of arithmetic invariants. His work bridges theoretical insights with algorithmic developments, as evidenced by contributions to open-source software like GitHub repositories for number-theoretic computations. Awards: Selfridge Prize (2016), awarded for contributions to number theory. Grants & Projects: Rational points: new dimensions (NWO-XL grant, 2023–2028) Global points via locally analytic functions (NWO VIDI grant, 2019–2024) Labs/Teams: Collaborates actively with researchers in number theory and algebraic geometry, contributing to international projects like the Quadratic Chabauty initiative and computational tools for arithmetic geometry.

• Arithmetic Geometry
• Computational Number Theory
• Elliptic Curves
• +6 more

Prof. Dr. Timo Keller is an Associate Professor at Universität Würzburg , focusing on computational and theoretical aspects of arithmetic geometry . His research spans modular curves , abelian varieties , L-functions , and the Birch–Swinnerton-Dyer conjecture . Current affiliation: Universität Würzburg Former positions: Marie Skłodowska-Curie Postdoctoral Fellow (Groningen), Leibniz Universität Hannover , Universität Bayreuth His work combines explicit computation with deep theoretical questions, particularly in: Arithmetic and computational properties of curves over global fields Modular forms and their Galois representations Rational points on modular and hyperelliptic curves Applications of the Chabauty–Kim method Tamagawa numbers and component groups Recent publications in arXiv and Magma code repositories address verification of the strong BSD conjecture for genus 2 curves, rational points on quotients of X0(N), and inverse Galois problems for 17T7. He has received a Marie Skłodowska-Curie Fellowship and contributes to the LMFDB project via open-source code. GitHub: TimoKellerMath (repositories include strongBSDgenus2 , QuadraticPoints , ModularCurvesX0plusG4-6 )

Alex BarriosView profile

Assistant Professor

• Algebraic number theory
• Class field theory
• Diophantine geometry
• +1 more

Alex Barrios serves as an Assistant Professor in the Department of Mathematics within the College of Liberal Arts at the University of St. Thomas. His academic foundation includes a PhD and MS in Mathematics from Purdue University, a BS from Brown University, and an AA from Miami-Dade College, establishing deep expertise in theoretical and computational mathematics. His educational background: PhD in Mathematics, Purdue University MS in Mathematics, Purdue University BS in Mathematics, Brown University AA in Mathematics, Miami-Dade College Dr. Barrios' research bridges abstract number theory with explicit computational methods, specializing in algebraic number theory, class field theory, and Diophantine geometry. His work focuses on elliptic curves as tools for solving intractable problems like Fermat's Last Theorem and the abc conjecture, emphasizing explicit constructions of examples and data calculations that connect theoretical frameworks to practical applications in arithmetic geometry. Recent publications reveal a concentrated research trajectory on rational elliptic curves, with systematic classifications of isogeny graphs, torsion subgroups, local data, and minimal models. This body of work demonstrates methodological rigor in explicit computation while advancing foundational understanding of Diophantine equations. His 2022 expository publication extends this rigor to diversity initiatives through the Math Alliance, highlighting interdisciplinary engagement beyond pure research. Dr. Barrios actively contributes to academic service through the Math Alliance initiative, co-authoring publications on community-building in mathematics. While no specific grant funding or student advising roles are documented in available materials, his Fall 2025 teaching roster includes Multi-Variable Calculus, Real Analysis, and an interdisciplinary honors seminar exploring mathematical infinity, reflecting commitment to both core mathematics education and innovative pedagogy.

Nils BruinView profile

Professor

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

Nils Bruin is a Professor in the Department of Mathematics at Simon Fraser University, where he has been a faculty member since 2003, rising from Assistant to Full Professor. He is affiliated with the SFU Algebraic and Arithmetic Geometry group, the SFU Number Theory group, and the Centre for Experimental and Computational Mathematics (CECM). He also serves as an Associate Editor for the journal Research in Number Theory . Ph.D. in Mathematics, University of Leiden, 1999 M.Sc. in Mathematics, University of Leiden, 1995 His research lies at the intersection of number theory and algebraic geometry, with a focus on Diophantine equations, rational points on algebraic varieties, Jacobians of curves, and computational methods in arithmetic geometry. He specializes in techniques such as Chabauty methods, descent via isogeny, and the study of Prym and symmetric differentials. His work often bridges theoretical insights with algorithmic implementation. The recent publications highlight a consistent focus on explicit computation in arithmetic geometry, particularly concerning genus 2 and genus 4 curves, endomorphism rings, descent methods, and their applications to hyperbolicity and rational points. His research combines deep theoretical number theory with practical computational tools, often implemented in systems like Magma. He has received the Stieltjes Prize (1999) for best thesis and the C.J. Kok Prize (1999) for research on covering techniques in number theory. Bruin has advised numerous graduate students, including M.Sc. and Ph.D. candidates, on topics such as 2-isogenies, Brauer-Severi varieties, and arithmetic aspects of the Burkhardt quartic. His work is supported by collaborations with leading mathematicians and participation in research seminars and workshops. He is a key member of the SFU Number Theory and Algebraic Geometry (NTAG) seminar and has contributed to software and computational tools for algebraic geometry and number theory.

Jürgen KlünersView profile

Professor

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

Prof. Dr. Jürgen Klüners is a Professor of Computer Algebra and Number Theory at the University of Paderborn, affiliated with the Faculty of Computer Science, Electrical Engineering and Mathematics. His research focuses on algebraic number theory, arithmetic statistics, and Galois theory, with significant contributions to class groups, Pell equations, and L-functions. Projects: TRR 358 (Integral structures in geometry and representation theory), TP A04 (Combinatorial Euler products), TP A02 (Algebraic and arithmetic aspects of aperiodicity) Current Course: Oberseminar "Number Theory and Arithmetical Statistics" His work explores deep connections between algebraic structures and number-theoretic phenomena, particularly through computational methods. Recent publications address ℓ-torsion bounds, conductor densities, and inverse problems in Galois theory. No explicit scientific awards are listed in the provided data. He teaches advanced courses in number theory and arithmetic statistics.

• Numerical Analysis
• Partial Differential Equations
• Computational Mathematics
• +5 more

Matteo Ferrari is a University Assistant Post-Doc in the Faculty of Mathematics at the University of Vienna, Austria, conducting research under Professor Ilaria Perugia's supervision. His position involves advanced numerical analysis and computational mathematics development. Education: Ph.D. in Numerical Analysis, Polytechnic University of Turin, supervised by Professors Silvia Falletta and Letizia Scuderi. His research centers on numerical methods for partial differential equations with emphasis on wave propagation and quantum mechanics. Key specialties include space-time discretization, isogeometric analysis, and coupling techniques between finite element and boundary element methods. He develops unconditionally stable schemes for wave equations and Schrödinger equations while applying virtual element methods to elastic wave problems and complex geometries. Analysis of his 2021-2025 publications reveals consistent innovation in space-time formulations and stability properties, particularly for Hamiltonian wave systems and time-domain scattering problems. His work bridges computational mathematics, physics, and engineering through novel discretization approaches for time-dependent PDEs. He actively contributes to Professor Ilaria Perugia's research group at the University of Vienna, focusing on computational mathematics advancements through collaborative projects and methodological developments.

Alexander BettsView profile

Assistant Professor

• Arithmetic Geometry
• Number Theory
• Algebraic Topology
• +2 more

Alexander Betts is an Assistant Professor in the Department of Mathematics at Cornell University's College of Arts and Sciences. His research focuses on modern approaches to Diophantine equations using tools from arithmetic geometry and algebraic topology, particularly the Chabauty–Kim method and Grothendieck's Section Conjecture. Key Contributions: Proved partial finiteness theorems for the section set of curves, developed effective bounds for rational points on curves via fundamental groups, and advanced the refined Chabauty–Kim method for explicit calculations. Recent Work: Collaborated with Jakob Stix on p-adic period mappings, with Martin Lüdtke on the Section Conjecture, and with Wanlin Li on p-adic cohomology classes of the Ceresa cycle. Publications: 15+ peer-reviewed works in top journals like Compositio Mathematica , Proceedings of the London Mathematical Society , and Mathematics of Computation , focusing on Selmer schemes, Kummer maps, and height functions. Teaching: Offers courses like MATH 6310 (Algebra) and MATH 4900 (Supervised Research) at Cornell. Previously taught at Harvard and King's College London. Outreach: Volunteered extensively with the UK Mathematics Trust, including mentoring, problem-setting, and leading international olympiad teams.