Laura Colmenarejo is an Assistant Professor in the Department of Mathematics at NC State University, part of the College of Sciences. She holds a PhD from the University of Sevilla (2016), a Master’s from Universidad Autónoma de Madrid (2011), and a Bachelor’s in Mathematics (2010). Her research focuses on algebraic combinatorics, symmetric functions, enumerative combinatorics, and representation theory of finite groups. She has advised multiple graduate and undergraduate students and has held previous positions at UMass Amherst, the Max Planck Institute in Leipzig, and York University. Her work spans topics like quantum cohomology, chromatic symmetric functions, and combinatorial structures such as posets and permutations. She co-organizes the Algebra and Combinatorics seminar at NC State and contributes to conferences like Triangle Lectures in Combinatorics. Her research emphasizes interactions between algebraic geometry, representation theory, and discrete mathematics. Advising: Camryn Thompson, Alex Steward, Ian Klein, Spencer Daugherty (graduate students), and Felix Hutchins, Etienne Phillips, Viviene Do (undergraduate researchers). Grants and funding details not explicitly mentioned. Labs/Teams: Part of the Algebra and Combinatorics Faculty Research Group at NC State.
James Martin is a Lecturer at the Department of Statistics, University of Oxford . He is affiliated with St Hugh's College and has been actively involved in organizing probability seminars since 2018. Research Interests Probability theory Random graphs and percolation Interacting particle systems Models of random growth and coagulation-fragmentation Queueing networks Combinatorial games Teaching Courses: Prelims Probability , Part A Probability , Part B Statistical Lifetime Models , Part C Probabilistic Combinatorics His publications focus on probability theory , statistical physics , and combinatorial structures . Recent work includes studies on last-passage percolation, multispecies exclusion processes, and integrable probability models. James Martin collaborates with researchers from institutions such as Uppsala University, University of Cambridge, Imperial College London, and Kyoto University. He has been a key organizer for the Oxford Probability Seminar since 2018.
Dori Bejleri is an Assistant Professor in the Department of Mathematics at the University of Maryland, College Park. Prior to this, he was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University (2019–2023) and an NSF postdoctoral fellow at MIT (2018–2019). He earned his PhD in 2018 from Brown University under Dan Abramovich's supervision. His research focuses on algebraic geometry, particularly moduli spaces and birational geometry, with connections to number theory, enumerative geometry, combinatorics, and geometric representation theory. His work is supported by NSF grant DMS-2401483. He has organized several academic events, including the JHU-UMD Algebra and Number Theory Day (2024) and the Perspectives on Moduli in Algebraic Geometry conference (2025). Bejleri has taught graduate courses such as Rationality Questions in Algebraic Geometry (Spring 2022), Birational Geometry of Algebraic Varieties (Fall 2020), and Moduli Spaces in Algebraic Geometry (Fall 2019). His research spans topics like wall-crossing phenomena in moduli spaces, compactifications of elliptic surfaces, and motivic Hilbert zeta functions. He has also contributed to the study of stable log pairs and geometric representation theory. His teaching and research reflect a commitment to advancing foundational questions in algebraic geometry while engaging with interdisciplinary connections. His academic contributions include organizing seminars and mentoring students through advanced topics in geometry and topology.
Grigory Mikhalkin is a Full Professor at the University of Geneva, where he has been a faculty member since 2008. He is considered one of the founders of Tropical Geometry, a domain of algebraic geometry governed by (max,+)-calculus where geometric objects degenerate to their piecewise-linear limits. He leads the "ALGEBRA AND GEOMETRY" research group at the university. Mikhalkin studied at Leningrad and Michigan State University under the supervision of Oleg Viro and Selman Akbulut. After receiving his PhD in 1993, he completed postdoctoral training at Princeton, Bonn, Toronto, Berkeley, and Harvard (1993-2000). He served as associate and then full Professor at the University of Utah before moving to the University of Toronto, eventually joining the University of Geneva in 2008. Mikhalkin's primary research areas are Geometry and Topology, with a particular focus on Tropical Geometry. His work bridges algebraic geometry with combinatorial structures, exploring how complex geometric objects can be understood through their piecewise-linear tropical counterparts. This approach has proven fruitful in solving problems in enumerative geometry and has connections to mathematical physics through the study of sandpile models and self-organized criticality. His research group actively explores the connections between tropical geometry, symplectic geometry, and real algebraic geometry, organizing regular seminars including the "Séminaire Fables Géométriques." The recent publications of Professor Mikhalkin demonstrate a strong focus on the intersection of tropical geometry with sandpile models and self-organized criticality. His work has evolved to examine tropical aspects of number theory, lattice sums, and even applications to economics through auction theory. A significant portion of his recent research explores the patterns and structures that emerge in sandpile models across various lattices and dimensions, connecting discrete mathematics with continuum limits through tropical techniques. Prize of the St. Petersburg Mathematical Society (1999) Silver Medal of the Mexican Mathematical Society (2011) Canada Research Chair (2004-2009) Friedrich-Wilhelm-Bessel Research Award of the Alexander-von-Humboldt Foundation (2007-2008) European Research Council Advanced Grant (2010-2015) Chair of Fondation Sciences Mathématiques de Paris (2013-2015) Mikhalkin has successfully advised several PhD students to completion, including Kristin Shaw (2011), Lionel Lang (2014), Nikita Kalinin (2015), Mikhail Shkolnikov (2017), and Johannes Josi (2018). His research has been supported by prestigious grants including the ERC Advanced Grant and the Canada Research Chair. He presented his work at the Bourbaki seminar in 2003 and was selected as a Geometry speaker at the International Congress of Mathematicians in 2006, highlighting the significance of his contributions to the field. Professor Mikhalkin leads the "ALGEBRA AND GEOMETRY" research group at the University of Geneva, which includes current members Thomas Blomme, Francesca Carocci, Aloïs Demory, Gurvan Mével, and Antoine Toussaint. The group has a strong track record of postdoctoral fellows and alumni, including notable researchers such as Ivan Bazhov, Johan Bjorklund, Rémi Crétois, and others. They organize several seminars including the "Séminaire Fables Géométriques" and have historical connections to the Battelle Seminar and Tropical working group Seminar.
Kris Shaw is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. She leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, funded by the BFS. Shaw's research focuses on the connections between combinatorics and algebraic geometry over the real and complex numbers, with particular emphasis on tropical geometry, matroid theory, and real algebraic geometry. Her work bridges abstract mathematical theory with concrete geometric structures, exploring how combinatorial frameworks can illuminate complex geometric phenomena. She has made significant contributions to understanding the topology of real hypersurfaces, bitangents to plane quartics, and the birational geometry of matroids through tropical methods. Her publication record from 2013-2023 demonstrates consistent advancement in tropical geometry applications. Recent work shows increasing focus on real algebraic geometry problems through tropical lenses, with notable contributions to enumerative geometry, matroid structures, and topological properties of algebraic varieties. Shaw frequently collaborates with leading researchers including Hannah Markwig, Arthur Renaudineau, Johannes Rau, and Annette Werner. Prior to her position at the University of Oslo, Shaw held postdoctoral appointments at the Max Planck Institute Leipzig, Technical University of Berlin, and University of Toronto, as well as time at the Fields' Institute during a semester focused on Combinatorial Algebraic Geometry.
Konstantin Wernli is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His research focuses on quantum field theory, geometric quantization, and mathematical physics, with a particular emphasis on topological field theories and perturbative methods. He has contributed to foundational work in Chern-Simons theories, BV-BFV formalisms, and geometric analysis. His research interests include quantum field theories, algebraic geometry, and the intersection of topology with physics. Notably, he explores combinatorial approaches to quantum field theory, geometric quantization frameworks, and the application of advanced mathematical tools to solve problems in theoretical physics. Recent work includes studies on partition functions, constrained dynamical systems, and the globalization of sigma models. His articles often bridge abstract mathematics with physical applications, such as analyzing heat kernels, theta invariants, and entanglement polytopes. Wernli is a project participant in the Sapere Aude grant 'FROM PERTURBATIVE TO NON-PERTURBATIVE QUANTUM FIELD THEORY BY CUTTING AND GLUING' (2024–2028), which aims to advance non-perturbative QFT techniques. He has advised on research projects involving heat kernel analysis and geometric quantization, though no formal student advisees are listed.
Prof. Allen Knutson is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He earned his Ph.D. from the Massachusetts Institute of Technology in 1996. His research focuses on algebraic geometry, algebraic combinatorics, and geometric representation theory, with an emphasis on Schubert calculus, quiver varieties, and the combinatorial structures underlying geometric problems. Education: Ph.D. (1996) from MIT. His work often involves degenerating complex algebraic varieties into simpler combinatorial pieces, bridging geometry and discrete mathematics. Notable contributions include foundational results in Schubert calculus, honeycomb models, and the use of puzzles in cohomology computations. Research Interests: Algebraic geometry, algebraic combinatorics, Schubert calculus, quiver varieties, geometric representation theory, and applications to integrable systems. His interdisciplinary approach integrates algebraic, geometric, and combinatorial methods to solve problems in mathematics and theoretical physics. Advising: Current students include Portia Anderson, Raj Gandhi, and others. Past advisees have contributed to areas like flag manifolds, Frobenius splitting, and Bruhat atlases. He has taught advanced courses on topics such as symplectic resolutions, differentiable manifolds, and algebraic geometry. Labs/Teams: Collaborates widely, with contributions to projects like the ICM 2022 paper on Schubert calculus and quiver varieties. His work often involves visual tools like puzzles and pipe dreams to encode geometric invariants.
Dhruv Ranganathan is a Professor of Algebraic Geometry at the University of Cambridge's Faculty of Mathematics and a Fellow at St John's College. His research focuses on logarithmic and tropical geometry, with applications to moduli and enumerative geometry. He holds a 2023 ERC Starting Grant from UKRI, coordinates the Cambridge Summer Research in Mathematics Programme, and teaches advanced mathematics courses such as IB Groups, Rings, and Modules. Affiliations: University of Cambridge (Faculty of Mathematics), St John's College. Research Interests: Tropical geometry, moduli spaces, enumerative geometry, logarithmic structures, and their interactions with combinatorics and algebraic varieties. He has mentored over 30 undergraduate researchers since 2013, focusing on projects in toric geometry, tropical moduli spaces, hyperplane arrangements, and Brill-Noether theory. His team includes postdoctoral researchers such as Alessio, Patrick, and Veronica. He co-edits Forum of Mathematics Pi/Sigma and the Mathematical Proceedings of the Cambridge Philosophical Society .
Iain Gordon is a Professor and Head of the School of Mathematics at the University of Edinburgh. He holds a BSc in Mathematics from the University of Bristol and a Part III Mathematics degree from the University of Cambridge. His research focuses on representation theory, Lie algebras, quantum groups, and Cherednik algebras, with notable contributions to the study of symplectic reflection algebras and categorification. He has held positions at the University of Glasgow and Bielefeld University, and received the Seggie Brown Fellowship during his postdoc. As Head of School, he oversees the School’s academic mission, including the expansion of the Bayes Centre and the International Centre for Mathematical Sciences (ICMS). Education: BSc Mathematics, University of Bristol Part III Mathematics (MASt), University of Cambridge Key Roles: Professor of Mathematics, University of Edinburgh (2006–present) Head of School of Mathematics, University of Edinburgh (since 2017) His research interests revolve around algebraic structures with geometric interpretations, particularly Cherednik algebras and their connections to representation theory, combinatorics, and mathematical physics. Notably, he proved a significant combinatorial theorem linking noncommutative algebras and combinatorics, earning recognition in the mathematical community. His work has fostered interdisciplinary collaborations, bridging pure mathematics with emerging fields like quantum algebra and geometric representation theory. The School’s growth under his leadership, including the Bayes Centre’s expansion and ICMS initiatives, reflects his commitment to advancing mathematical research and education. Awards: Seggie Brown Fellowship, University of Edinburgh (Postdoc, early career support) Research Contributions: Pioneering studies on rational Cherednik algebras and their categories Geometric approaches to representation theory Applications of Cherednik algebras to symmetric functions and combinatorics His leadership emphasizes balancing research excellence with societal impact, exemplified by the School’s role in major UK government-funded initiatives for mathematical sciences.
Tyler Lawson is a Professor in the School of Mathematics at the University of Minnesota, holding the distinguished Albert and Dorothy Marden Professorship. His office is located in Vincent Hall 323 at 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at tlawson@umn.edu or (612) 625-6802. Professor Lawson's research focuses on algebraic topology and K-theory, with significant contributions to homotopy theory, quandles, stable homotopy theory, and braided Hopf algebras. His work bridges abstract algebraic structures with topological applications, particularly exploring connections between category theory and homotopy-theoretic constructions. He has made notable advances in understanding filtrations and derived spaces, the generating hypothesis in stable homotopy theory, and the homotopy theory of quandles as they relate to knot invariants. Analysis of his recent publications reveals a strong emphasis on structural theorems in algebraic topology, with particular attention to equivariant phenomena, rational homotopy theory, and connections to arithmetic statistics. His research demonstrates sophisticated interplay between combinatorial structures and topological invariants, often revealing unexpected connections between seemingly disparate mathematical domains. Albert and Dorothy Marden Professor Professor Lawson actively advises graduate students and participates in the topology seminar series at the University of Minnesota, where he has presented on topics ranging from filtrations and derived spaces to the generating hypothesis. His research program includes collaborations with mathematicians across institutions, contributing to advancements in homotopy theory and its applications to other mathematical fields. He maintains an active research group focused on exploring the frontiers of algebraic topology and its connections to related disciplines.
Rainer Sinn is a University Professor (on leave) at Leipzig University, specializing in Applied Algebra within mathematics. His research centers on real algebraic geometry, convex optimization, and sums of squares, with significant contributions to spectrahedra, amplituhedra, and nonnegativity certificates. His primary research interests include real algebraic geometry (focusing on nonnegative polynomials and quadratic forms), convex algebraic geometry (studying convex hulls of algebraic varieties), and combinatorial applications in optimization. He explores geometric structures like amplituhedra in theoretical physics and investigates algebraic solutions to optimization problems. Recent publications (2022-2025) demonstrate a cohesive focus on algebraic approaches to optimization, with recurring themes in nonnegativity certificates, tropical geometry, and combinatorial aspects of algebraic varieties. His German-language works also address the philosophy and public understanding of mathematics, highlighting interdisciplinary impact. No scientific awards were documented in the provided sources. Details regarding academic advising, research grants, laboratories, or collaborative teams were not specified in the available information.
Younghan Bae is a Donald J. Lewis Research Assistant Professor at the University of Michigan's Department of Mathematics. He holds visiting fellow status at the Korea Institute for Advanced Study (KIAS). His research focuses on moduli spaces in algebraic geometry, including Calabi-Yau 4-folds, intersection theory, and Picard stacks. Bae completed his Ph.D. at ETH Zurich (2023) under Rahul Pandharipande, with prior degrees from Columbia University (M.S., 2018) and Seoul National University (B.S., 2017). Research emphases include Donaldson-Thomas theory, Gromov-Witten theory, and the study of moduli spaces of sheaves. His work bridges geometric and arithmetic aspects of algebraic structures. Recent papers explore DT/PT0 correspondences in Calabi-Yau geometries and Abel-Jacobi theory on Picard stacks. Organizational contributions include co-organizing Geometry meet physics: Calabi-Yau fourfolds and beyond and Moduli spaces of algebraic surfaces in Ann Arbor . His expository work includes a chapter in the KIAS Springer Series on sheaf counting theories.
Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.
Pavel Galashin is an Associate Professor in the Department of Mathematics at the University of California, Los Angeles, where he joined in 2019 after completing his PhD at MIT under Alex Postnikov. His research focuses on algebraic combinatorics with emphasis on total positivity and cluster algebras. His primary research interests include algebraic combinatorics, total positivity, cluster algebras, amplituhedra, plabic graphs, positroids, and connections to mathematical physics. His work bridges combinatorics with algebraic geometry, representation theory, and theoretical physics, particularly in scattering amplitudes and integrable systems. Galashin's recent publications reveal a strong focus on braid varieties, positroid varieties, and their connections to cluster structures. His research shows significant interdisciplinary impact across combinatorics, algebraic geometry, and mathematical physics, with particular attention to geometric structures in scattering amplitudes and connections to knot theory. He has received an Alfred P. Sloan Research Fellowship and NSF funding through grants DMS-1954121 and DMS-2046915 (CAREER). Galashin advises multiple PhD students including Matthew Tyler, Ariana Chin, Thomas Martinez, and Olha Shevchenko, and co-mentors postdocs such as Terrence George and Colleen Robichaux. Together with Anton Bernshteyn, Terrence George, Igor Pak, and Colleen Robichaux, he organizes the UCLA Combinatorics Forum.
Shachar Carmeli is a researcher in the Department of Mathematics at the Weizmann Institute of Science. He previously held a postdoctoral position at the University of Copenhagen's Department of Mathematical Sciences, working with the Copenhagen Centre for Geometry and Topology. Carmeli earned his PhD from the Weizmann Institute under the supervision of Professor Dmitry Gourevitch, focusing on advanced topics in algebraic topology and representation theory. His research interests span homotopy theory, chromatic homotopy theory, algebraic geometry, and representation theory, with a current emphasis on higher semiadditivity in chromatic homotopy theory and its connections to algebraic K-theory. He also explores Nash stacks and geometric representation-theoretic frameworks. Notable collaborations include work with Tomer M. Schlank, Lior Yanovski, and Allen Yuan on cyclotomic extensions, redshift phenomena, and categorified trace constructions. Carmeli's recent publications highlight contributions to topics like chromatic Fourier transforms, descent in algebraic K-theory, and the topology of crystalline materials. His work bridges abstract algebraic structures with geometric and topological applications, often leveraging tools from higher category theory and spectral algebraic geometry.
