Find Academic Supervisors

• Algebraic Geometry
• Mathematical Physics
• Mirror Symmetry
• +7 more

Maxim Kontsevich has been a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS) since 1995, holding the AXA-IHES Chair for Mathematics . He is also Professor at Rutgers University (one month per year since 1997) and was Professor at University of California, Berkeley (1993–1995). Born 25 August 1964 in Khimki, former USSR, he became a French citizen in 1999. Education: Ph.D. in Mathematics, University of Bonn, March 1992. Research Interests: Prof. Kontsevich’s work lies at the intersection of algebraic geometry , mathematical physics , and quantum theory . He introduced revolutionary ideas in mirror symmetry , non-commutative geometry , and deformation quantization , creating new algebraic structures that have found applications far beyond their original contexts. His current ERC Synergy Grant “ReNew Quantum” (2019-2025) explores recursive and exact new quantum theory . Publications & Trends: Across more than 50 influential papers, Kontsevich has consistently pushed the boundaries of enumerative geometry , motivic integration , and topological field theory . His recent work delves into symplectic aspects of homological algebra , motivic Donaldson-Thomas invariants , non-archimedean geometry , and integrable systems , revealing deep connections between geometry, algebra, and physics. Scientific Awards & Honors: Fields Medal (1998) Crafoord Prize (2008) Shaw Prize in Mathematical Sciences (2012) Breakthrough Prize in Fundamental Physics (2012) Breakthrough Prize in Mathematics (2014) ERC Synergy Grant “ReNew Quantum” (2019) AMS Moore Prize (2025) Doctor Honoris Causa: Aarhus University (2014), Universität Wien (2015), Syddansk Universitet (2023) Member of Académie des Sciences, Institut de France, Academia Europaea, National Academy of Sciences (foreign), London Mathematical Society (honorary) Grants & Leadership: As Principal Investigator of the ERC Synergy Grant “ReNew Quantum” (€10 million, 2019-2025), Kontsevich coordinates an international team advancing exact methods and resurgence in quantum field and string theories. Editorial Service & Community Roles: He serves on the editorial boards of Compositio Mathematica , Publications Mathématiques IHÉS , Journal of Noncommutative Geometry , and several other leading journals, shaping the direction of contemporary mathematical research.

Alexander GorodnikView profile

Professor

• Dynamical Systems
• Analytic Number Theory
• Diophantine Approximation
• +5 more

Alexander Gorodnik is a Professor of Mathematics at the University of Zurich, focusing on the interplay between dynamical systems and number theory. His work bridges ergodic theory, homogeneous dynamics, and Diophantine approximation, with applications to arithmetic counting problems and geometric distribution of lattice orbits. Current lectures include MAT121: Analysis I and MAT221: Analysis III at the University of Zurich Co-author of the book The ergodic theory of lattice subgroups (Princeton University Press, 2010) Editor of the journal Ergodic Theory and Dynamical Systems His research explores Diophantine approximation through dynamical systems, investigating how orbits of group actions distribute in homogeneous spaces. Key topics include mixing properties , central limit theorems , and metric theorems for multiplicative approximation. Recent publications address automorphic density estimates , discrepancy in intrinsic Diophantine approximation , and effective equidistribution of translated measures. His work often employs tools from representation theory and spectral analysis . Current working group members include Zhiyuan Deng , Zouhair Ouaggag , and Yuval Yifrach . He has taught courses at institutions in Zurich, Bristol, Princeton, and Mumbai, with lecture materials covering topics from ergodic theorems to Každan's property (T) .

Thomas LamView profile

Professor

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +5 more

Thomas Lam is a professor of mathematics at the University of Michigan , specializing in algebraic combinatorics, total positivity, and connections to mathematical physics. His work bridges cluster algebras, positive geometry, and integrable systems, with applications to scattering amplitudes in quantum field theory. Lam has collaborated extensively with physicists such as Nima Arkani-Hamed and mathematicians like Pavlo Pylyavskyy and Mark Shimozono. Key research areas: Cluster algebras, total positivity, electrical networks, positroid varieties, and quantum cohomology. Notable contributions: Defining polypositroids, proving regularity theorems for totally nonnegative flag varieties, and establishing cluster structures in braid varieties. Recent work focuses on positive geometries , including the amplituhedron and moduli spaces of points on projective lines, with implications for particle physics. His articles often explore dual graded graphs, K-theoretic Schubert calculus, and the interplay between combinatorics and algebraic structures. Lam's research has been supported by NSF grants, including DMS-0748636 and DMS-1249708 .

Maxim KontsevichView profile

Professor

• Mathematical Physics
• Algebraic Geometry
• Deformation Quantization
• +5 more

Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS), holding the AXA Chair for Mathematics since 1995 and a visiting chair at Rutgers University (one month annually since 1997). Born in 1964 in Khimki, USSR, he earned his PhD from Bonn University in 1992. His career includes visiting positions at Harvard, the Institute for Advanced Study, and Berkeley, where he was a professor from 1993 to 1995. His research spans mathematical physics, algebraic geometry, and non-commutative geometry. Notable contributions include deformation quantization, mirror symmetry, and motivic integration. His work bridges algebraic structures with geometric and physical concepts, influencing areas like topological field theories, string theory, and integrable systems. Awardees of Fields Medal (1998), Crafoord Prize (2008), and Breakthrough Prize (2014), he also holds editorial roles at Compositio Mathematica and Publications Mathématiques IHÉS. His over 50 publications explore advanced topics such as quantum cohomology, Hodge theory, and categorical structures in geometry.

Christine VespaView profile

Professor

• Algebra
• Algebraic Topology
• Category Theory
• +3 more

Christine Vespa is a Professor at Aix-Marseille Université affiliated with the Institute of Mathematics (I2M) in Marseille. Her research lies at the intersection of Algebra , Algebraic Topology , and Category Theory , focusing on polynomial functors , functor homology , and stable homology of group families. Education Habilitation à diriger des recherches (HDR), Université de Strasbourg, 2013. Thesis: Foncteurs polynomiaux et homologie stable à coefficients polynomiaux . Jury: William Dwyer, Vincent Franjou, Hans-Werner Henn, Nick Kuhn, Birgit Richter, Lionel Schwartz. Doctorat en Mathématiques, Université Paris 13, 2005. Thesis: La catégorie F_quad des foncteurs de Mackey généralisés pour les formes quadratiques sur F2 . Director: Lionel Schwartz. Research Interests Her work explores structural properties of polynomial functors and their applications in homology stability. She connects abstract category-theoretic frameworks with concrete algebraic and topological problems, such as stable homology for automorphism groups of free groups and orthogonal groups. Recent preprints address PROP structures , analytic exponential functors , and Jacobi diagrams , highlighting her engagement with algebraic topology and category theory. Article Trends Christine Vespa's publications and preprints emphasize algebraic topology and category theory . Recent trends include analyzing partition PROPs , exponential functors , and Jacobi diagrams in the context of stable homology. Earlier works delve into Hochschild homology , automorphism groups , and generalized Mackey functors , showcasing her contributions to homological algebra and representation theory. Advising Antoine Feltz (2020–2024): Foncteurs polynomiaux sur les catégories FI_d . Arthur Soulié (2015–2018): Foncteurs de Long-Moody et homologie stable des groupes de difféotopie . Andrea Cesaro (2012–2016): Pre-Lie algebras and operads in positive characteristic , co-supervised with Benoit Fresse. Labs & Teams She is a member of the Analyse, Géométrie, Topologie research group at I2M. She has organized academic events, including the 2014 Strasbourg workshop on Mac Lane's cubic construction and the 2015 Strasbourg Masterclass on Topological K-theory.

Samuel JohnstonView profile

Lecturer

• Probability
• Stochastic Processes
• Free Probability
• +7 more

Samuel Johnston is a Lecturer in Probability Theory at the Department of Mathematics, King's College London, affiliated with the Faculty of Natural, Mathematical & Engineering Sciences. He joined King's in 2022 after postdoctoral roles at the University of Bath, University of Graz, and University College Dublin. MMath, University of Oxford (2014) PhD in Probability, University of Bath (2017) Johnston's research spans probability theory, with a focus on stochastic processes involving branching, coalescence, and fragmentation. He actively explores free probability, random matrices, integrable combinatorics, and combinatorial approaches to the Jacobian conjecture. His work intersects with statistical physics and asymptotic geometric analysis. Recent publications highlight coalescent structures in heavy-tailed branching processes, integrable probability models, free probability via entropic transport, and convexity in high dimensions. Keywords include universality classes, Berry-Esseen bounds, and fragmentation-scaling limits. Samuel has not been mentioned to have received specific scientific awards or honors. He advises PhD students Rohan Shiatis (2023-) and Neil Mukerji (2024-). Collaborations span institutions in the UK, USA, Mexico, Austria, and Poland, with invited talks at global conferences including Xiangtan University, Imperial College London, and UCLA.

John VoightView profile

Professor

• Arithmetic Algebraic Geometry
• Number Theory
• Cryptography
• +4 more

John Voight is a Professor of Mathematics at the University of Sydney, affiliated with the School of Mathematics and Statistics. He holds a Ph.D. from UC Berkeley (2005) and has held academic positions at the University of Sydney, University of Minnesota, University of Vermont, and Dartmouth College. His research focuses on arithmetic algebraic geometry, number theory, and computational aspects of these fields, including modular forms, elliptic curves, and quaternion algebras. Education: Ph.D. in Mathematics, UC Berkeley (2005); earlier studies include a focus on classical piano and liberal arts at Gonzaga University. Professional trajectory includes postdoctoral roles at the University of Sydney and University of Minnesota, followed by faculty appointments at the University of Vermont (2006–2013) and Dartmouth College (2013–present). Research Interests: Arithmetic algebraic geometry: modular curves, Shimura varieties, moduli spaces, and algorithmic methods Number theory: algebraic number theory, quadratic forms, cryptography, and coding theory Computational mathematics: modular forms, quaternion algebras, and database construction (e.g., LMFDB) Publications and Recognition: Over 90 peer-reviewed articles, including contributions to Contemp. Math. , Math. Comp. , and Res. Number Theory . Recipient of the Selfridge Prize in Number Theory and recognized for teaching excellence at Dartmouth. Leads projects on Hilbert modular forms and paramodular abelian surfaces. Teaching and Mentorship: Emphasizes student-centered learning and the integration of liberal arts with STEM. Advises students on topics ranging from elliptic curves to cryptography. Active in curriculum design and promoting computational tools in mathematics education. Labs/Teams: Collaborates with the L-Functions and Modular Forms Database (LMFDB) project, contributing to computational frameworks for algebraic geometry and number theory.

Holly KriegerView profile

Professor

• Arithmetic Dynamics
• Complex Dynamics
• Algebraic Geometry
• +1 more

Professor Holly Krieger is a faculty member at the University of Cambridge , affiliated with the Faculty of Mathematics and the Department of Pure Mathematics and Mathematical Statistics . Her research focuses on Arithmetic Dynamics , Complex Dynamics , and Algebraic Geometry , with recent work on rational periodic points and Manin-Mumford conjectures. Role : Professor Email : hkrieger@dpmms.cam.ac.uk Her research spans dynamical systems with applications to number theory and algebraic geometry. Key contributions include studies on birational maps, preperiodic points, and cohomological properties of endomorphisms. Recent publications (2024–2012) highlight her expertise in arithmetic and complex dynamics, with a focus on rational maps, Galois representations, and equidistribution problems. Email : hkrieger@dpmms.cam.ac.uk Room : E1.19 Phone : 01223 337970 Homepage : Personal Page

Ken OnoView profile

Professor

• Number Theory
• Combinatorics
• Algebra
• +6 more

Ken Ono is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia. He also holds courtesy appointments as Professor of Electrical and Computer Engineering, Professor of Data Science, and Professor of Statistics. Additionally, he is a Fellow of the Shannon Center for Advanced Studies and serves on the Institute for Advanced Study board of trustees and the National Security Agency Advisory Board. His educational background includes a Ph.D. in Mathematics from UCLA (1993) and a B.A. in Mathematics from the University of Chicago (1989). Throughout his distinguished career, Ono has held leadership roles including Vice President of the American Mathematical Society, Chair of the Mathematics Section of the American Association for the Advancement of Science, and Chairman of the Department of Mathematics at UVa. Ken Ono specializes in Number Theory, Combinatorics, Algebra, and Arithmetic Geometry, with recent work expanding into sports analytics and swimming optimization. His research has produced numerous publications on partition theory, modular forms, and related areas, continuing the mathematical legacy of Srinivasa Ramanujan. His recent publications demonstrate a continued focus on partition theory, modular forms, and their connections to prime numbers and combinatorial structures. The work shows sophisticated connections between classical number theory and modern mathematical physics, with applications in cryptography and data science. Guggenheim Fellowship David and Lucile Packard Fellowship Alfred P. Sloan Foundation Fellowship NSF CAREER Award Presidential Early Career Award (2000) National Science Foundation Director's Distinguished Teaching Scholar (2005) University of Chicago Alumni Medal for Professional Achievement (2023) Fellow of the American Mathematical Society Ono has advised 34 PhD students and 17 postdocs, mentoring numerous award winners including 2 Breakthrough Mirzakhani Prize winners, 9 Morgan Prize winners, and 9 Schafer Prize winners. He founded and directs the Spirit of Ramanujan Global STEM Talent Search, which has awarded 125 budding scientists from 23 countries. His research grants have supported extensive REU programs, with continuous undergraduate research opportunities for 25 years. Beyond academia, Ono serves as a technical consultant for elite swimmers, has worked as an Associate Producer on the film The Man Who Knew Infinity , and is actively involved with the Infinity Arts Foundation. His interdisciplinary work spans from pure mathematics to practical applications in sports science, where he has developed data-driven approaches to optimize swimming performance and served as a consultant for Olympic medalists. He co-founded the Velocity Swim Camp with Olympic coach Todd DeSorbo, combining mathematical analytics with elite swimming training.

Eva Bayer FluckigerView profile

Professor

• Algebraic Number Theory
• Galois Cohomology
• Quadratic Forms
• +5 more

Eva Bayer Fluckiger is an Honorary Professor at the School of Basic Sciences (SB) at EPFL, Lausanne. She holds a position in the Mathematics Section (SB-DEC) and is affiliated with the Department of Mathematics. Her academic career includes a Doctorate from the University of Geneva (1978) under Michel Kervaire, postdoctoral work in Germany, France, and the U.S., and a CNRS position (1987–2001). She became a full professor at EPFL in 2001. Her research focuses on algebraic number theory, Galois cohomology, quadratic and Hermitian forms, knot theory, and applications to algebraic codes. She has held visiting positions at prestigious institutions like IAS Princeton and has been actively involved in editorial roles and international committees. Her awards include the Vacheron Constantin Prize (1983) and the Maria Sybilla Merian Prize (2001). She has advised numerous PhD students and contributed over 150 publications, with recent work emphasizing K3 surfaces, lattice theory, and algebraic geometry. She is an editor of five international journals and has held leadership roles in mathematical societies, including the European Mathematical Society.

Asif ZamanView profile

Associate Professor

• Analytic Number Theory
• Probabilistic Number Theory
• Algebraic Number Theory
• +7 more

Asif Zaman is an Associate Professor in the Faculty of Arts and Science at the University of Toronto. His research focuses on Analytic Number Theory , Probabilistic Number Theory , and Arithmetic Statistics , with applications to Algebraic Structures , L-functions , and Modular Surfaces . He has contributed to problems involving the distribution of prime numbers, zeros of L-functions, and mass equidistribution. Research highlights include work on the Chebotarev Density Theorem , Random Multiplicative Functions , and Binary Quadratic Forms . His recent publications address advanced topics such as Artin L-functions , GL(n) Sieve Methods , and Multiplicative Chaos in number theory. Zaman has co-authored articles with prominent researchers like James Thorner and Robert J. Lemke Oliver, focusing on non-vanishing properties, explicit density estimates, and Siegel zeros. Zaman teaches mathematics courses at the University of Toronto, including MAT237 Multivariable Calculus with Proofs and MAT198 Cryptology . His teaching philosophy emphasizes active learning, collaboration, and analytical skill development, inspired by resources like Mathematical Mindsets and the American Mathematical Society blog series.

Davoud Cheraghi HomeView profile

Associate Professor

• Complex Analysis
• Dynamical Systems
• Geometric Analysis
• +3 more

Dr Davoud Cheraghi Home is a Reader (Associate Professor) in Pure Mathematics at Imperial College London, affiliated with the Pure Analysis and PDEs and Geometry research groups. His research focuses on complex analysis and dynamical systems, particularly holomorphic maps, rigidity phenomena, and small divisors problems, bridging analysis, geometry, and combinatorics. He has organized numerous conferences and workshops, including events at Imperial College and the School of Mathematics in Tehran. Dr Cheraghi teaches advanced courses in geometric complex analysis, analysis, and dynamical systems at Imperial College, as well as at the University of Warwick and Stony Brook University. He has mentored PhD students and postdoctoral researchers, contributing significantly to the field through his publications and collaborations. His research interests encompass geometric analysis (quasi-conformal mappings, elliptic PDEs), renormalization operators, and low-dimensional analytic dynamics. Notable publications include studies on irrationally indifferent attractors, Siegel polynomials, and combinatorial rigidity. Dr Cheraghi’s work is supported by extensive teaching and mentorship activities, reflecting his commitment to advancing both research and education in pure mathematics.

Juanita Duque-RoseroView profile

Academic

• Computational Number Theory
• Arithmetic Geometry
• Modular Curves
• +4 more

Juanita Duque-Rosero is a Research Assistant Professor at Boston University, specializing in computational number theory and arithmetic geometry. She collaborates with Jennifer Balakrishnan on explicit Chabauty methods and triangular modular curves. Her research focuses on rational points on curves, modular curves, and p-adic heights. Education: PhD from Dartmouth College (2023, advised by John Voight), Masters from Colorado State University (2019, advised by Rachel Pries), and undergraduate degree from Universidad de los Andes. Research interests include arithmetic properties of curves, geometric quadratic Chabauty, and computational aspects of modular forms. She has contributed to databases of Hilbert modular surfaces and studies of Artin-Schreier curves. Her recent articles explore invariants of curves, p-adic heights, and geometric methods in number theory. Talks include presentations at CIRM, IPAM, and Texas A&M. Teaching includes courses like Modern Algebra and Graph Theory at Boston University, and calculus courses at Dartmouth and Colorado State. She mentors students in algebraic geometry and number theory through directed reading programs. She advocates for equitable mathematics education through Federico Ardila’s axioms and participates in outreach activities. A creative hobby is mathematical origami, leading a club at Colorado State University.

Charles M HarrisView profile

Lecturer

• Computability Theory
• Computable Combinatorics
• Reverse Mathematics
• +4 more

Charles M Harris is a Lecturer in Pure Mathematics at the School of Mathematics, University of Bristol. His academic training includes a BSc from the University of Bristol, an MSc from King's College London, a DEA from Paris, and a PhD from the University of Leeds. Education: BSc (Bristol), MSc (King's College London), DEA (Paris), PhD (Leeds) Harris specializes in Computability Theory, with a focus on Computable Combinatorics and Reverse Mathematics. His research explores enumeration reducibility, automorphism structures of linear orderings, jump inversion, and noncuppable enumeration degrees. Key contributions include work on maximal block functions, symmetric enumeration degrees, and polynomial-time bounded reducibility. His publications (15 most recent) span topics in computable orderings, enumeration degree theory, and algorithmic combinatorics. Articles often intersect with mathematical logic and recursion theory, addressing foundational questions about computability and complexity.

Asif Ali ZamanView profile

Associate Professor

• Analytic Number Theory
• Probabilistic Number Theory
• L-functions
• +7 more

Asif Ali Zaman is an Associate Professor in the Department of Mathematics at the University of Toronto's Faculty of Arts and Science. He specializes in analytic and probabilistic number theory, with applications to algebraic structures and arithmetic statistics. His work intersects prime distribution, zeros of L-functions, Chebotarev density theorem, random multiplicative functions, and binary quadratic forms, extending to elliptic curves, modular forms, and mass equidistribution. PhD in Mathematics (2017), University of Toronto NSERC Postdoctoral Scholar (2017–2019), Stanford University MSc in Mathematics (2012), University of British Columbia BSc in Mathematics (2010), Simon Fraser University His research leverages log-free zero density estimates, Deuring-Heilbronn phenomenon, and Artin's holomorphy conjecture to derive bounds for primes, ℓ-torsion class groups, and equidistribution on modular surfaces. Recent publications (2025–2022) focus on Tauberian theorems, multiplicative chaos, and large sieve inequalities. Grants include sponsored research on L-functions (2022–2027) and computational projects (2025). He supervises Masters and PhD students in number theory and teaches multivariable calculus and cryptology courses.