Find Academic Supervisors

• Algebraic Geometry
• Moduli Spaces
• Calabi-Yau Manifolds
• +3 more

Martijn Kool is an Associate Professor at Utrecht University’s Faculty of Science , affiliated with the Fundamental Mathematics department. His research focuses on algebraic geometry, moduli spaces, Calabi-Yau manifolds, and intersection theory. Research Trends: His recent work (2022–2025) examines virtual invariants , Donaldson-Thomas theory , and Vafa-Witten theory , with applications to Calabi-Yau 4-folds, stable pairs, and higher-rank sheaves. Collaborations with prominent mathematicians like Lothar Göttsche and Yalong Cao are central to his contributions. Scientific Awards: NWO-Vidi award (2019) Advising & Grants: While specific student names are not listed, he has supervised three works. His research is supported by competitive fellowships and grants, including the NWO-Vidi award.

• Tropical Geometry
• Log Gromov-Witten Invariants
• Mirror Symmetry

Samuel Johnston is a Heilbronn Research Fellow at Imperial College London, specializing in tropical geometry, log Gromov-Witten invariants, and mirror symmetry. He will transition to an NSF Postdoctoral Fellowship at MIT in Fall 2025 under the mentorship of Davesh Maulik. Current Position: Heilbronn Research Fellow at Imperial College London Future Position: NSF Postdoctoral Fellow at MIT (starting Fall 2025) Research Interests: His work intersects algebraic geometry and mathematical physics, focusing on: Tropical geometry and its applications to enumerative geometry Logarithmic Gromov-Witten invariants Mirror symmetry phenomena Honors: Major awards include: Heilbronn Research Fellowship National Science Foundation Postdoctoral Fellowship

Olivia DumitrescuView profile

Associate Professor

• Algebraic geometry
• Topological recursion
• Hitchin systems
• +6 more

Olivia Dumitrescu serves as an Associate Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill, where she leads research at the intersection of algebraic geometry and mathematical physics. Her work focuses on foundational structures in geometry with applications to theoretical physics, particularly through the lens of Hitchin systems and topological recursion. Educational Background: B.S. in Mathematics, University of Bucharest (2004) Ph.D. in Mathematics, Colorado State University (2010) Postdoctoral Fellow, University of California, Davis (2010–2013) Postdoctoral Fellow, Leibniz University Hannover (2013–2015) Postdoctoral Fellow, Max-Planck Institute for Mathematics, Bonn (2016) Her research program spans algebraic geometry with emphases on enumerative geometry, quantum curves, Gromov-Witten theory, and birational geometry. She investigates deep connections between geometric structures and physical theories, notably exploring how topological recursion governs quantum invariants and Hitchin fibrations. Her contributions include resolving positivity problems in divisor theory and establishing bridges between oper moduli spaces and integrable systems, reflecting a sustained commitment to unifying abstract mathematics with quantum field theory frameworks. Analysis of her recent publications reveals a cohesive trajectory centered on the mathematical formalism of quantum curves and their interplay with topological recursion. Her work consistently demonstrates how geometric degeneration techniques and toric methods illuminate structures in Gromov-Witten theory, with publications appearing in premier venues like the Journal of Algebra and Letters in Mathematical Physics. This body of research underscores her role in advancing the algebraic-geometric foundations of modern theoretical physics. No scientific awards were documented in the provided text. Information regarding graduate student advising, research grants, or collaborative funding mechanisms was not specified in the available materials. No details about dedicated research laboratories, computational facilities, or structured team compositions were included in the source content.

Sara TukachinskyView profile

Senior Lecturer

• Symplectic Geometry
• Gromov-Witten Theory
• Floer Homology
• +3 more

Dr. Sara Tukachinsky is a Senior Lecturer at the School of Mathematical Sciences , Tel Aviv University , specializing in Symplectic Geometry and Gromov-Witten Theory . Her research bridges complex and symplectic geometry, focusing on open Gromov-Witten invariants, Floer theory, and quantum cohomology. Academic Appointments: Senior Lecturer, Tel Aviv University (2021–present) Institute for Advanced Study, Princeton (2017–2021) Postdoctoral Fellow, Université de Montréal (2016–2017) Member, MSRI, Berkeley (2018) Research: Explores stratified subspaces, A-infinity algebras, and Lagrangian submanifolds. Collaborates closely with Jake P. Solomon on foundational aspects of open Gromov-Witten theory. Seminars: Co-organizes the Symplectic Zoominar and the Tel Aviv Seminar in Real and Complex Geometry. Publications analyze symplectic invariants, including WDVV equations for open invariants, differential forms on orbifolds, and relative quantum cohomology. Recurring themes: mirror symmetry , Fukaya categories , and moduli spaces .

Andrey SmirnovView profile

Associate Professor

• Enumerative geometry
• Mathematical physics
• Representation theory
• +5 more

Andrey Smirnov is an Associate Professor of Mathematics at the University of North Carolina at Chapel Hill, where he also holds the distinguished position of William R. Kenan, Jr. Scholar. He is based in the Department of Mathematics within the College of Arts and Sciences, conducting research at the intersection of algebraic geometry, mathematical physics, and representation theory. His research spans several interconnected areas including enumerative geometry , mathematical physics , representation theory , combinatorics , and number theory . A particular focus of his work involves quantum K-theory, mirror symmetry, and integrable systems, where he has made significant contributions to understanding the deep connections between algebraic geometry and quantum physics. His recent publications demonstrate a consistent focus on quantum geometric methods and their applications to enumerative problems . The work prominently features themes of 3D mirror symmetry , quantum difference equations , and stable envelopes , establishing new bridges between algebraic geometry, representation theory, and mathematical physics. These contributions have advanced our understanding of quantum cohomology and K-theory of algebraic varieties. Scientific Honors: William R. Kenan, Jr. Scholar - a prestigious endowed professorship recognizing outstanding contributions to research and scholarship Contact Information: Email: asmirnov@live.unc.edu Office: 307A Phillips Hall, University of North Carolina at Chapel Hill Department: Department of Mathematics, College of Arts and Sciences

Ruofan JiangView profile

Visiting Assistant Professor

• Algebraic Geometry
• Arithmetic Geometry
• Moduli Spaces
• +5 more

Ruofan Jiang is currently a Morrey Visiting Assistant Professor at the University of California, Berkeley, mentored by Sug Woo Shin and Yunqing Tang. He completed his PhD at the University of Wisconsin-Madison under the supervision of Ananth Shankar. His research focuses on algebraic and arithmetic geometry, with a particular emphasis on moduli spaces and representation theory. Research Interests Arithmetic and geometry of Shimura varieties Enumerative geometry Representation theory Topology Combinatorics Scientific Awards Advising and Grants No formal advisees or grants information is provided in the available text. Labs and Teams No specific labs or teams are mentioned in the provided information.

Edward RichmondView profile

Associate Professor

• Algebraic Combinatorics
• Algebraic Geometry
• Lie Theory
• +1 more

Edward Richmond is an Associate Professor and Director of Graduate Studies in the Department of Mathematics at Oklahoma State University. He previously held postdoctoral positions at the University of British Columbia (2010-2014) and the University of Oregon (2008-2010), and earned his Ph.D. in Mathematics from the University of North Carolina at Chapel Hill in 2008 under Prakash Belkale. His academic career includes roles such as Teaching Fellow (2002-2008) and Math Help Center Director (2006-2007) at UNC. Research Interests: His work focuses on algebraic combinatorics, algebraic geometry, Lie theory, and representation theory. Key research themes include Coxeter groups, Schubert varieties, billey-postnikov decompositions, and applications to geometric and combinatorial problems. He has contributed to understanding isomorphism problems in Schubert varieties, noncommutative coefficients, and smoothness criteria for algebraic structures. Recent Publications: Recent studies explore permutation pattern avoidance, cominuscule Schubert varieties, and nil-Hecke rings. These papers highlight collaborations with researchers like S. Oh, T. Grigsby, and K. Zainoulline, with applications to Young's lattice, Springer fibers, and affine flag varieties. Academic Service: Richmond has co-organized numerous special sessions at conferences, including topics in combinatorics, Lie theory, and Schubert calculus. He has also contributed to course design, such as Math 3933: Introduction to Research Methods at OSU, and participated in outreach activities like Math Mania and ELMACON.

• Quantum Field Theory
• String Theory
• Enumerative Geometry
• +3 more

Toshiya Kawai is an Associate Professor at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University. His work bridges physics and mathematics through rigorous explorations of quantum field theory and string theory. Research interests include: String duality phenomena and geometric correspondences 2D conformal field theory (2d CFT) Gromov-Witten invariants and brane counting Elliptic genus, cohomology, and Jacobi forms Borcherds products in algebraic geometry

• Algebraic Geometry
• Moduli Spaces
• Derived Algebraic Geometry
• +8 more

Tasuki Kinjo is an Assistant Professor at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University. His work bridges advanced mathematical disciplines, focusing on abstract structures and their applications. Research Interests Algebraic geometry with emphasis on moduli spaces Interplay between derived algebraic/symplectic geometry and microlocal geometry Applications to geometric representation theory and Langlands duality Non-commutative derived geometry and categorified enumerative geometry Contact Email: tkinjo@kurims.kyoto-u.ac.jp

Amanda BurcroffView profile

Research Fellow

• Algebraic Combinatorics
• Cluster Algebras
• Scattering Diagrams
• +6 more

Amanda Burcroff is a mathematician specializing in algebraic combinatorics, currently serving as a President's Postdoctoral Fellow at the University of California, Davis. Starting in September 2025, she will join MIT as a School of Science Dean's and NSF Postdoctoral Fellow. Her research explores the connections between cluster algebras, scattering diagrams, and algebraic geometry, with additional contributions to number theory, graph theory, and combinatorial structures. Harvard University (Ph.D., Mathematics) University of Cambridge (M.A.St, Mathematics) Durham University (M.A.S., Pure Mathematics) University of Michigan (B.S., Mathematics) Burcroff's research focuses on: Cluster algebra positivity and expansion formulas in low-rank settings Scattering diagram combinatorics and tropical geometry Hyperbolic Coxeter polytopes and dimension bounds Ehrhart theory and Hilbert bases for convex cones Combinatorics on words and pattern avoidance Domination polynomials and graph invariants Her publications reveal interdisciplinary trends spanning algebraic combinatorics, geometric structures, and number-theoretic patterns. Recent work examines quantum cluster algebras, continued fractions, and convex geometry. Burcroff's awards include prestigious Marshall, NSF, and President's Postdoctoral Fellowships. Marshall Scholarship (UK study funding) NSF Postdoctoral Fellowship (MIT appointment) President's Postdoctoral Fellowship (UC Davis) Burcroff actively promotes STEM diversity through mentorship programs like the Math Includes Mentorship Program and Graduate Research Opportunities for Women (GROW) Conference. Her mathematical outreach extends to high school initiatives including the Oakland University Summer Mathematics Institute and FIRST Robotics.

Steve ButlerView profile

Professor

• Spectral Graph Theory
• Enumerative Combinatorics
• Mathematics of Juggling
• +3 more

Steve Butler is a Professor and the Barbara J. Janson Professor in the Department of Mathematics at Iowa State University. His research focuses on spectral graph theory, combinatorics, and the mathematics of juggling. He earned his Ph.D. from UC San Diego (2008) under Fan Chung and completed an NSF Postdoc at UCLA with Benny Sudakov. Research Interests: Spectral Graph Theory: Studies eigenvalues of graph matrices, equitable partitions, and Laplacian properties. Recreational Mathematics: Explores mathematical patterns in juggling, card shuffling, and performance. Combinatorics: Investigates Eulerian numbers, distance matrices, and graph automorphisms. Scientific Awards: Barbara J. Janson Professorship (2017) LAS Early Achievement in Teaching Award (2014) Cassling Family Faculty Award (2014) MAA Iowa Section Award for Distinguished Teaching (2015) NSF Postdoctoral Fellowship (2008-2011) Advising and Outreach: Butler actively collaborates with students, producing educational videos and organizing undergraduate research initiatives. He served as Iowa State's calculus coordinator (2018-2020) and contributes to outreach programs for young STEM enthusiasts.

Theo DouvropoulosView profile

Assistant Professor

• Algebraic Combinatorics
• Coxeter groups
• Artin groups
• +4 more

Theo Douvropoulos is an Assistant Professor at the Department of Mathematical Sciences, University of Texas at Dallas. He works on Algebraic Combinatorics with a focus on Coxeter groups, Artin groups, hyperplane arrangements, poset homology, Hurwitz numbers, and Frobenius manifolds. His research bridges algebraic structures with geometric and topological phenomena. University of Texas at Dallas University of Massachusetts at Amherst (former) Brandeis University (former) University of Minnesota (PhD) His work includes generalizing Hurwitz numbers to reflection groups, studying deformations of restricted reflection arrangements, and exploring connections between W-parking spaces and noncrossing partitions. Recent projects involve spectral analysis of the W-Laplacian and its applications in Coxeter-Catalan combinatorics. Publications span topics like Lyashko-Looijenga morphisms, cyclic sieving phenomena, and matrix tree theorems for reflection groups, demonstrating interdisciplinary applications across algebra, geometry, and topology.

T. Kyle PetersenView profile

Professor

• Combinatorics
• Enumerative Combinatorics
• Algebraic Combinatorics
• +1 more

T. Kyle Petersen is Professor and Chair of the Department of Mathematical Sciences at DePaul University's College of Science and Health, where he serves as a full-time faculty member specializing in combinatorics research and education. Education history: AB, Washington University in St. Louis PhD, Brandeis University (2006), supervised by Ira Gessel Research focuses on core and specialized areas of combinatorics: Enumerative Combinatorics : Counting methods and sequence analysis Algebraic Combinatorics : Algebraic structures in discrete mathematics Topological Combinatorics : Geometric and topological approaches Recent publications (2019-2021) demonstrate broad engagement with combinatorial theory and applications—including permutation studies (Sós Permutations), probabilistic card shuffling models, geometric puzzle theory, Coxeter group analysis, and inquiry-based learning frameworks. This work consistently bridges theoretical foundations with educational innovation. Beyond research, Dr. Petersen actively contributes to pedagogical advancement through the Academy of Inquiry-Based Learning, promoting student-centered mathematics education.

Vasilisa ShramchenkoView profile

Professor

• Algebraic Geometry
• Mathematical Physics
• Integrable Systems
• +4 more

Vasilisa Shramchenko serves as Full Professor and Associate Director of Graduate Studies and Research in the Department of Mathematics at the University of Sherbrooke. Her work bridges advanced algebraic geometry with mathematical physics, focusing on structural frameworks governing complex systems. Educational background: Master of Science in Mathematics, St. Petersburg State University (2000) Ph.D. in Mathematics, Concordia University (2005) Her research program integrates Frobenius manifolds, integrable systems, and Riemann surface theory through the lens of isomonodromic deformations and Riemann-Hilbert problems. Key contributions include foundational work on Hurwitz spaces, Painlevé equations, and Eynard-Orantin topological recursion, revealing deep connections between algebraic curves, moduli spaces, and differential equations. This interdisciplinary approach extends to combinatorial enumeration and quantum field theory applications. Publication trends indicate sustained focus on algebro-geometric methods for solving nonlinear systems, with recent work emphasizing cluster algebras and superelliptic curve structures. Her output consistently appears in high-impact journals spanning mathematical physics and pure mathematics. Scientific recognition: No awards explicitly documented in source material Administrative leadership in graduate studies complements her research role, though specific grant funding or advisee information remains unreported. She actively contributes to the Algebraic and Geometric Structures Research Team and the Sherbrooke Mathematics Circle, fostering collaborative exploration of mathematical frontiers.