Find Academic Supervisors

Peter J. DukesView profile

Professor

• Combinatorics
• Algebra
• Graph Theory
• +3 more

Professor Peter J. Dukes holds a faculty position in the Department of Mathematics and Statistics at the University of Victoria. His research focuses on combinatorics, particularly applying algebraic and analytic methods to combinatorial problems. He has held positions including postdoctoral fellowships at Arizona State University and the University of Toronto. Dukes teaches advanced courses such as MATH 427 (Combinatorial Designs) and MATH 529 (Topics in Discrete Mathematics). His work spans graph theory, coding theory, and quasirandomness, with recent publications addressing graph decomposition, matrix balancing, and permutation patterns. He actively participates in academic conferences and organizes sessions on combinatorial design theory. His teaching philosophy emphasizes problem-solving and the appreciation of mathematical beauty, supported by resources like lecture notes for MATH 413 (applied algebra). Dukes also engages in outreach through activities like the UVic Math Competition and triangle decomposition games. Education: B.Sc. Mathematics, University of Victoria, 1997 M.Sc. Mathematics, University of Toronto, 1998 Ph.D. Mathematics, California Institute of Technology (Caltech), 2003 Research Interests: Combinatorics, algebraic methods in combinatorics, extremal graph theory, quasirandom structures, and applications to coding theory. His work often explores the intersection of discrete mathematics with algebraic techniques, such as permutation balancing and matrix decomposition problems.

Yufei ZhaoView profile

Associate Professor

• Combinatorics
• Extremal combinatorics
• Probabilistic combinatorics
• +4 more

Yufei Zhao is an Associate Professor of Mathematics at the Massachusetts Institute of Technology (MIT). His research focuses on extremal, probabilistic, and additive combinatorics, with applications to graph theory, discrete geometry, and computer science. Dr. Zhao received his S.B. in Mathematics and Computer Science and Engineering from MIT in 2010, followed by an M.A.St. in Mathematics with Distinction from Cambridge University in 2011. He completed his Ph.D. in Mathematics at MIT in 2015 under the supervision of Jacob Fox. His research interests span a broad range of combinatorial mathematics, with particular emphasis on the interplay between structure and randomness. Dr. Zhao has made significant contributions to extremal graph theory, additive combinatorics, and the theory of pseudorandom graphs. His work often connects different areas of mathematics through innovative applications of combinatorial methods. Dr. Zhao's publications demonstrate a consistent focus on fundamental problems in combinatorics, with recent work exploring equiangular lines, spherical codes, extremal set theory, and the connections between graph theory and additive combinatorics. His research has been recognized with prestigious awards including the Fulkerson Prize (2024), NSF CAREER award (2021), Sloan Research Fellowship (2019), and Dénes König Prize (2018). Fulkerson Prize (2024) NSF CAREER award (2021) Sloan Research Fellowship (2019) Dénes König Prize (2018) Dr. Zhao actively mentors students, currently advising Travis Dillon, Dingding Dong, and Nitya Mani. His former PhD students include Benjamin Gunby, Jonathan Tidor, Aaron Berger, Ashwin Sah, and Mehtaab Sawhney. He has also authored the influential textbook "Graph Theory and Additive Combinatorics: Exploring Structure and Randomness" (Cambridge University Press, 2023), which has received high praise from leading mathematicians including Terry Tao and Ben Green.

Lorenzo GaleottiView profile

Researcher

• Mathematical Logic
• Computability Theory
• Set Theory
• +3 more

Lorenzo Galeotti is a researcher affiliated with the University of Amsterdam, specifically working within the Mathematical & Computational Logic (MCL) group at Amsterdam University College. His research focuses on foundational aspects of mathematical logic, computability theory, and generalized analysis. Research Interests: Galeotti investigates topics at the intersection of logic, computability, and non-standard mathematical structures. His work includes studying transfinite computability, infinitary intuitionistic set theory, and the properties of generalized real numbers and non-Archimedean fields. He also explores the application of logical frameworks in educational contexts, such as game-based learning tools for propositional logic. Publications: His recent articles address advanced topics in logic, including models of Peano arithmetic fragments, symmetry in infinite-time computation, and surreal number systems. These works reflect a consistent focus on extending classical concepts into transfinite and non-standard domains. Contact: Email correspondence can be directed to l.galeotti@uva.nl .

Davide Cesare VenianiView profile

Academic

• Algebraic Geometry
• K3 Surfaces
• Enriques Surfaces
• +3 more

Davide Cesare Veniani is a Postdoctoral Assistant at the University of Stuttgart, affiliated with the Institute of Discrete Structures and Symbolic Computing and the Chair of Differential Geometry. He holds a Privatdozent (Priv.-Doz.) title and completed his habilitation in Mathematics at Stuttgart in 2021. His research focuses on algebraic geometry, particularly K3 surfaces, Enriques surfaces, and their symmetries, enumerative problems, and connections to number theory. Education: PhD in Mathematics (2016), Leibniz Universität Hannover, under Prof. Matthias Schütt Postdoctoral positions at Johannes Gutenberg-Universität Mainz (2016–2019) and Universität Stuttgart (2019–present) His research interests include the geometry of algebraic surfaces, their moduli spaces, automorphisms, and applications to arithmetic geometry. He has organized events such as the 2023 FrAGe conference and contributed to international summer schools on arithmetic geometry. Teaching includes courses on mathematics for economics, advanced geometry topics, and seminars on group theory and algorithmic applications. His publications span high-impact journals, exploring subjects like elliptic fibrations, symplectic rigidity of hyperkähler manifolds, and Hensel lifting algorithms for quadratic forms.

Walter DeanView profile

Associate Professor

• Philosophy of Mathematics
• Mathematical Logic
• Philosophical Logic
• +5 more

Walter Dean is an Associate Professor in the Department of Philosophy at the University of Warwick . He holds a PhD in Computer Science (2010, CUNY) and Philosophy (2007, Rutgers), with an MSc in Logic (1999, University of Amsterdam). His research focuses on the intersection of Philosophy of Mathematics , Mathematical Logic , and Theoretical Computer Science , particularly exploring how results in Reverse Mathematics and computational complexity theory relate to questions of mathematical applicability and existence. Education PhD in Computer Science, CUNY Graduate Center (2010) PhD in Philosophy, Rutgers University (2007) MSc in Logic, University of Amsterdam (1999) Dean has been on research leave as a fellow of the French Institute for Advanced Study (2022-2023) and a Von Humboldt Fellow at the MCMP in Munich (2020-2022). His work investigates the method of arithmetization , barriers in mathematical problem-solving , and the philosophical implications of undecidability and nonstandard models. Key research areas include: Philosophy of mathematical applicability Algorithmic and complexity-theoretic limitations History and philosophy of computation Reverse Mathematics and subsystems of second-order arithmetic Informal rigour and metamathematical analysis Scientific Awards : Fellow, French Institute for Advanced Study (2022-2023) Von Humboldt Fellowship (2020-2022) Agence Nationale de la Recherche Fellowship Netherlands-America Foundation Fellowship Dean has presented extensively on topics such as non-Euclidean geometry , algorithmic identity , and complexity-theoretic barriers . His publications span journals like Philosophia Mathematica and Review of Symbolic Logic , as well as encyclopedic works on Kreisel's paradox and computational models . He serves as Philosophy convenor for Warwick's Mathematics and Philosophy joint degrees .

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.

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.

Gianmarco CherchiView profile

Assistant Professor

• Computer Graphics
• Geometry Processing
• Surface Mesh Generation
• +12 more

Gianmarco Cherchi is a Tenure-Track Assistant Professor and Computer Science Researcher in the Department of Mathematics and Computer Science at the University of Cagliari, Italy, where he also completed his PhD. He teaches courses in Data Visualization and Web Programming at the undergraduate level. His research lies at the intersection of Computer Graphics and Geometry Processing, with a strong focus on surface and volumetric mesh generation, optimization, digital fabrication, and polycube-based modeling. His work combines algorithmic innovation with practical applications in fabrication, visualization, and interactive systems. The recent publications highlight a consistent trend in advanced hexahedral meshing techniques (e.g., HexBox, VOLMAP), robust geometric computation (e.g., mesh booleans), and interactive tools (e.g., ProtoSketchAR, Py3DViewer). His research spans theoretical algorithm development, benchmark creation, and applied systems for VR/AR and simulation. His scientific accolades include the Young Investigator Award 2024 from the Shape Modeling International Organization, and prior Best Thesis Awards from the Eurographics Italy Association for both his M.Sc. and Ph.D. work. Cherchi actively collaborates with researchers such as Marco Livesu, Riccardo Scateni, and others, contributing to major surveys and state-of-the-art methods in hexahedral meshing. His work is supported by publications in top venues like ACM Transactions on Graphics (SIGGRAPH), Computer Graphics Forum (Eurographics), and IEEE VR. He has also developed practical software tools like Py3DViewer for geometry processing prototyping. He leads research in digital fabrication pipelines, as evidenced by publications on polycube decomposition for manufacturing and automated flat pattern generation. His lab work involves developing interactive and robust systems for 3D modeling and analysis.

• Number Theory
• Arithmetic Theory of Quadratic Forms
• Algebraic Groups
• +2 more

Wai Kiu Chan is a Professor of Mathematics at Wesleyan University , specializing in the Department of Mathematics and Computer Science . His research lies at the intersection of number theory, quadratic forms, and algebraic structures. Arithmetic theory of quadratic forms Algebraic groups and their representations Lattices in Euclidean spaces Modular forms and spinor theory Dr. Chan's recent work focuses on equivalence problems, representation theorems, and finiteness results for quadratic forms over number fields. His publications reveal a strong emphasis on both theoretical and computational aspects of Diophantine representations.

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.

Yuri TschinkelView profile

Professor

• Algebraic Geometry
• Number Theory
• Rational Points
• +3 more

Yuri Tschinkel is a Professor of Mathematics at New York University (Courant Institute of Mathematical Sciences). He works at the intersection of Algebraic Geometry and Number Theory, focusing on rational points and rational curves on algebraic varieties. Education : Ph.D. in Mathematics (MIT, 1992), M.A. in Mathematics (Moscow State University, Russia, 1990). His research explores fundamental problems in arithmetic geometry, particularly studying rational curves on K3 surfaces, integral points on algebraic varieties, and connections between Galois theory and projective geometry. Current projects involve understanding the distribution of rational points and geometric structures in higher-dimensional varieties. The selected publications highlight his contributions to rational curves on K3 surfaces (2013), integral points on vector group compactifications (2012), and Galois-theoretic approaches to projective geometry (2013). These works emphasize the interplay between arithmetic and geometric methods in algebraic geometry. Professor Tschinkel's academic affiliation with NYU's Courant Institute of Mathematical Sciences positions him within a leading research center for pure and applied mathematics. His work continues to influence both theoretical developments and practical applications in number theory and algebraic geometry.

• Artificial Intelligence
• Sustainable Computing
• Machine Learning
• +3 more

Mr. Lukas König, M.Sc., is affiliated with Bielefeld University's Faculty of Engineering as part of the Sustainable Artificial Intelligence working group. His research intersects interdisciplinary domains, particularly aligning with the university's strategic Socio-Technical World research area and mathematical modeling initiatives. Office: CITEC 3-219 Phone: +49 521 106-86303 The Mathematical World strategic research area at Bielefeld emphasizes synergies between arithmetic/algebra, analysis, and probability theory, with applications to economics and natural sciences. König's work likely contributes to this interdisciplinary ecosystem through AI research.

Jefferson Jacques Christophe BaudinView profile

Researcher

• Algebraic Geometry
• Positive Characteristic Geometry
• Vanishing Theorems
• +3 more

Jefferson Jacques Christophe Baudin serves as a Doctoral Assistant at École Polytechnique Fédérale de Lausanne (EPFL) within the School of Basic Sciences, Department of Mathematics, specifically in the Chair of Algebraic Geometry (CAG). He is concurrently enrolled as a PhD student in EPFL's Doctoral Program in Mathematics (EDMA) under the supervision of Professor Zsolt Patakfalvi. His research focuses on advanced topics in algebraic geometry, particularly: Positive and mixed characteristic algebraic geometry Vanishing theorems and their applications Singularities within the Minimal Model Program framework Generic vanishing theory P-adic cohomological structures His work represents cutting-edge research at the intersection of arithmetic and geometric methods in modern algebraic geometry. Based at MA Building, Station 8, Lausanne (CH-1015), he maintains active research operations through the CAG laboratory infrastructure while fulfilling doctoral requirements. Contact is facilitated via institutional email and office location MA C3 585.

• Analytic Number Theory
• Number Systems
• Symbolic Dynamics
• +3 more

Manfred Madritsch is an HDR lecturer at the University of Lorraine's Faculty of Science and Technology, affiliated with the Analysis and Number Theory research team at IECL (Institut Élie Cartan de Lorraine). His work bridges analytical, dynamical, and probabilistic properties of number systems. Current teaching includes: Arithmetic Calculations and Mathematics Statistical Inference Mathematics for Physics and Chemistry Research focuses on: Representation of multiplicative sets (e.g., prime numbers) in additive number systems Digit distribution analysis and block patterns Construction of normal numbers via prime sequences Dynamical systems in non-standard expansions (Zeckendorf-type representations) His work sits at the intersection of number theory, symbolic dynamics, and probabilistic modeling, particularly studying dependencies in digit generation processes over recurring sequences. IECL research teams include SIMBA, SPHINX, and PASTA, though Madritsch's specific team affiliation is Analysis and Number Theory.

Kurusch Ebrahimi-FardView profile

Professor

• Numerical integration methods
• Nonlinear control theory
• Stochastic calculus
• +12 more

Kurusch Ebrahimi-Fard is a Professor in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) in Trondheim, Norway. He is an active member of the Differential Equations and Numerical Analysis (DNA) group at IMF-NTNU, with extensive international collaborations across Europe and North America. His research spans a remarkable breadth of mathematical disciplines, focusing on the surprising convergence of algebraic and combinatorial structures across seemingly disparate fields. His work bridges geometric integration methods, nonlinear control theory, rough paths theory, free probability theory, and perturbative quantum field theory. The common thread throughout his research is the central role of algebraic and combinatorial structures on graphs, partitions, and other combinatorial objects. Dr. Ebrahimi-Fard's recent publications reveal strong trends in the application of Hopf algebraic structures to probability theory and stochastic analysis, with significant contributions to understanding signatures in rough path theory and their applications to image analysis. His work consistently demonstrates how abstract algebraic structures can provide powerful tools for concrete problems in numerical analysis and mathematical physics. Juan de la Cierva fellowship Ramón y Cajal fellowship Fellow of the Studienstiftung des Deutschen Volkes Fellow of the Evangelisches Studienwerk e.V. Fellow of the German Academic Exchange Service (DAAD) Fellow of the European Post-Doctoral Institute (EPDI) Throughout his career, Dr. Ebrahimi-Fard has organized numerous international conferences and workshops, including the 18th Santaló Summer School on Algebraic and Combinatorial Methods in Stochastic Calculus. His editorial work includes special issues on theoretical and computational aspects of dynamical systems, non-commutative algebra, and algebraic structures in perturbative quantum field theory. He has also secured research funding through various grants including the BBVA Foundation Research Grants. Dr. Ebrahimi-Fard maintains active collaborations with researchers worldwide and participates in several research networks focused on the intersection of algebra, combinatorics, and mathematical physics. His work with the DNA group at NTNU continues to explore fundamental mathematical structures with applications across scientific disciplines.