جستجوی استاد راهنمای دانشگاهی

Mark D. Haimanمشاهده پروفایل

استاد

• Algebra
• Combinatorics
• Algebraic Geometry
• +۱۲ مورد دیگر

Mark D. Haiman is a Professor at the University of California, Berkeley, Department of Mathematics, with research interests spanning algebra, combinatorics, and algebraic geometry. His work connects symmetric function theory with geometric objects like Hilbert schemes and algebraic structures such as Cherednik algebras and Hecke algebras. Appointed: 2001 Contact: mhaiman@math.berkeley.edu Teaching: Math 256B—Algebraic Geometry (Spring 2025), Math 249—Algebraic Combinatorics (Spring 2024), and others in calculus and Lie groups. Research Interests : Haiman's research focuses on Macdonald polynomials, LLT polynomials, Hilbert schemes of points in the plane, and their combinatorial and geometric implications. His work includes resolving the Macdonald positivity conjecture and the n! conjecture through algebraic geometry. Publications : Haiman has contributed to foundational papers in combinatorial and algebraic structures, including generalizations of the shuffle theorem and positivity results for LLT polynomials. His articles often bridge representation theory, symmetric functions, and geometric methods. Students : He has supervised numerous PhD students, including Magda Hlavacek (2023), Foster Tom (2022), Jeremy Meza (2021), Maryam Farahmand-Asil (2018), Maria Monks Gillespie (2016), and others working on combinatorial algebraic geometry and related fields.

Brett Kolesnikمشاهده پروفایل

پژوهشگر ارشد

• Probability Theory
• Random Structures
• Bootstrap Percolation
• +۴ مورد دیگر

Brett Kolesnik is a Research Fellow in the Department of Statistics at the University of Warwick. His research focuses on probability theory, random structures, bootstrap percolation, and interactions with combinatorics. He has held postdoctoral fellowships at UC Berkeley, San Diego, and the University of Oxford, and was a Senior Demy at Magdalen College. His work includes organizing workshops on bootstrap percolation and collaborating with leading researchers in probability and combinatorics. Education: PhD in Mathematics from the University of British Columbia (advised by Omer Angel). Notable awards include the NSERC Postdoctoral Fellowship and the Florence Nightingale Bicentennial Fellowship in Statistics. Research interests span bootstrap percolation models, random graph dynamics, and stochastic processes. Recent work includes studies on Brownian map geometry, tournament score sequences, and Coxeter group structures. Selected articles explore topics such as critical beta-splitting processes, Catalan percolation, and random walks on algebraic structures. His publications appear in top journals like Electronic Journal of Probability and Annals of Applied Probability . Awards include the Florence Nightingale Fellowship and NSERC Postdoctoral Fellowship. Professional involvement includes organizing the 2024 BIRS workshop on Bootstrap Percolation and contributing to interdisciplinary collaborations in probability and combinatorics.

Thomas Lamمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

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 .

Nathan Readingمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Geometric Combinatorics
• Coxeter Groups
• +۳ مورد دیگر

Nathan Reading is a Professor in the Department of Mathematics at North Carolina State University (NCSU). He holds a Ph.D. in Mathematics from the University of Minnesota (2002) and a B.S. in Physics from Stanford University (1995). His research focuses on algebraic and geometric combinatorics, particularly in Coxeter groups, cluster algebras, and lattice-theoretic approaches. He has been actively involved in organizing the Triangle Lectures in Combinatorics, a biannual research conference. His research interests include noncrossing partitions, cluster scattering diagrams, and the lattice theory of torsion classes. Recent work explores connections between Coxeter groups and combinatorial structures on surfaces. Reading has authored numerous papers on topics such as semidistributive lattices, scattering diagrams, and Cambrian frameworks. He teaches advanced combinatorics courses (e.g., MA 724: Combinatorics II) and has advised graduate students. His work has been supported by grants from the National Science Foundation (NSF), including DMS-1500949. Reading maintains an active presence in the mathematics community through publications, conference organization, and pedagogical contributions.

Julie Bergnerمشاهده پروفایل

استاد

• Homotopy Theory
• Algebraic Topology
• Algebraic K-Theory
• +۳ مورد دیگر

Julie Bergner is a Professor in the Department of Mathematics at the University of Virginia. She is currently on sabbatical during 2024-25 as a Visiting Fellow at Clare Hall, University of Cambridge. Her research focuses on Homotopy Theory, Algebraic Topology, Algebraic K-Theory, and Category Theory, with a particular emphasis on higher category theory and homotopical algebraic structures. University of Virginia (Professor, Department of Mathematics) University of Cambridge (Visiting Fellow at Clare Hall, 2024-25) Her work spans 2-Segal objects, model categories, Waldhausen constructions, and applications to topological field theories. She has received NSF CAREER awards for her research on equivariant topological field theories and higher cluster categories. Her recent publications explore combinatorial models, enriched categories, and homotopy limits in the context of functor calculus and higher structures. Julie Bergner contributes to mathematical exposition through articles on writing papers in the mathematical sciences and homotopy theory applications. She is actively involved in the department's topology seminar and supports collaborative learning initiatives. Her research has implications in algebraic topology, category theory, and their interdisciplinary applications.

Christophe VIGNATمشاهده پروفایل

استاد

• Mathematics
• Number Theory
• Probability Theory
• +۴ مورد دیگر

Christophe VIGNAT is a Professor at CentraleSupélec, affiliated with the Laboratoire des Signaux et Systèmes (L2S). His research focuses on number theory, special functions, probability, and their applications in signal processing and control systems. He has held visiting professorships at École Polytechnique Fédérale de Lausanne (EPFL) and Tulane University. VIGNAT's work bridges pure mathematics and applied fields, with notable contributions to Bernoulli/Euler polynomials, multiple zeta values, and probabilistic methods in number theory. His recent publications explore topics like partition functions, theta functions, and Ramanujan-type identities. He has delivered talks at international conferences and collaborates widely with researchers in mathematics and physics. Research Interests: Number theory, special functions (Bessel, orthogonal polynomials), probability theory, signal processing, control systems, analytic combinatorics, and their interconnections. His work often employs symbolic computation and probabilistic approaches to uncover identities and structures in mathematical analysis. Publications Trends: Recent articles emphasize partition theory, zeta functions, and integrals related to classical polynomials. His collaborations highlight interdisciplinary efforts between pure mathematics and applied sciences. Over 150 refereed papers and conference contributions demonstrate his prolific output across diverse mathematical domains. Education: While specific academic history isn’t detailed, his roles and publications suggest advanced training in mathematics and engineering, typical for a full professor in systems and control.

Victor H. Mollمشاهده پروفایل

استاد

• Classical Analysis
• Symbolic Computation
• Special Functions
• +۳ مورد دیگر

Victor H. Moll is a Professor of Mathematics at Tulane University, New Orleans, Louisiana. He holds a Ph.D. and M.S. in Mathematics from New York University (1984/1982) and a B.S. in Mathematics from Universidad Santa Maria (1978). His research focuses on Classical Analysis, Symbolic Computation, Special Functions, and Number Theory. He has held visiting positions at Universidad Santa Maria (Chile) and the Courant Institute (NYU), and served as a postdoctoral researcher at Temple University. Moll has contributed extensively to integral evaluations, particularly through the Gradshteyn and Ryzhik series and the method of brackets for definite integrals. His work bridges pure mathematics with applications in physics and combinatorics. His research spans asymptotic analysis of polynomials, valuation theory of number sequences, and symbolic computation techniques. Notable contributions include studies on Jacobi polynomials, Catalan numbers, and hypergeometric inequalities. Moll has collaborated on projects involving Feynman diagrams and modular-type transformations, showcasing interdisciplinary reach. His academic journey includes roles from Assistant Professor (1986–1992) to full Professor (2001–present) at Tulane. While no specific grants or awards are listed, his prolific publication record (over 200 articles from 2015–2025) highlights sustained academic engagement. His work often explores connections between classical mathematical analysis and modern computational methods.

Joel M. Cohenمشاهده پروفایل

استاد

• Mathematics
• Algebraic Topology
• Harmonic Analysis
• +۴ مورد دیگر

Joel M. Cohen is a Professor of Mathematics at the University of Maryland, College Park. He specializes in Algebraic Topology , Harmonic Analysis , and Functional Analysis , with a focus on Operator Theory and Differential Equations on Trees . His work bridges abstract mathematical theory with applications in Mathematical Physics and Geometric Analysis . His recent publications include studies on Carleson measures, harmonic structures on trees, and the Radon transform. He has received the 2006 Lester R. Ford award for his article in the American Mathematical Monthly. Key Collaborators: Flavia Colonna, David Singman, Massimo Picardello Courses Taught: Math 136 (Calculus for Life Sciences), Math 734 (Algebraic Topology) Cohen has served in various academic roles, including Former Member of the University Senate and Founding Member of the Coalition on Intercollegiate Athletics . His research has been published in journals such as Ann. Inst. Fourier Grenoble, American Journal of Mathematics, and Advances in Applied Mathematics.

Anton Mellitمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +۴ مورد دیگر

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

Chris Bowmanمشاهده پروفایل

استاد

• Combinatorics
• Lie Theory
• Categorical Representation Theory
• +۳ مورد دیگر

Dr Chris Bowman is a Professor in the Department of Mathematics at the University of York, supported by an EPSRC Early Career Fellowship. His research focuses on the intersection of combinatorics, Lie theory, knot theory, and categorical representation theory, with a particular emphasis on symmetric groups, Cherednik algebras, and Kazhdan-Lusztig theory. He holds a PhD from the University of Cambridge and has held postdoctoral positions at Paris and London. Bowman is a member of EPSRC’s Early Career Forum and organizes the UK-European Representation Theory and Categorification Network (RepNet). His work explores theoretical frameworks guided by machine learning techniques and addresses conjectures like Foulkes’ conjecture. He currently supervises PhD student Benjamin Mills and leads projects funded by the EPSRC. Education: BSc at York, PhD at Cambridge (2012) Postdoctoral roles: Paris 7, City University London (Royal Commission Fellowship), University of Kent Research interests include diagrammatic algebra, Hecke categories, and representation theory of algebraic groups. His recent publications address plethysm coefficients, BGG resolutions, and modular decomposition numbers. Bowman has received prestigious awards, including the Royal Commission for the Exhibition of 1851 Fellowship. Awards: EPSRC Early Career Fellowship, Royal Commission Fellowship He collaborates widely, with projects on geometric and categorical Lie theory, and actively contributes to academic outreach through conferences and workshops.

Pavel Galashinمشاهده پروفایل

دانشیار

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

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.

Blake Jacksonمشاهده پروفایل

استاد پژوهش

• Cluster Algebras
• Enumerative Combinatorics
• Representation Theory
• +۳ مورد دیگر

Blake Jackson is an Assistant Research Professor at the University of Connecticut's Department of Mathematics. His research focuses on algebraic and enumerative combinatorics, representation theory, and applications of machine learning to mathematical problems. He earned his Ph.D. from the University of Alabama under Kyungyong Lee and is currently mentored by Ralf Schiffler and Kyu-Hwan Lee at UConn. Education and Background: Bachelor's degree from Jacksonville State University, Alabama. Ph.D. in Mathematics from the University of Alabama (Tuscaloosa). Research Interests: Blake’s work spans cluster algebras, symmetric functions, quiver representations, and machine learning. Recent projects include geometric modeling of modules over path algebras, studying Banff/Louise quivers, c-vector geometry for mutation-infinite quivers, and using machine learning to explore quiver mutation-acyclicity. He is actively developing algorithms to find combinatorial bijections on Dyck paths related to q,t-Catalan numbers. Publications: His recent work combines theoretical mathematics with computational methods, focusing on geometric and algebraic structures in combinatorics. Machine learning techniques are increasingly central to his research, driven by promising results in quiver mutation analysis. Awards: No specific awards mentioned in the provided texts. Grants and Advising: While no grants are listed, Blake collaborates with leading researchers in algebraic combinatorics. He mentors students through his research projects, though no formal advisees are noted. Labs/Teams: His current work involves interdisciplinary collaborations, including machine learning applications in mathematical research.

Olya Mandelshtamمشاهده پروفایل

استادیار

• Algebraic Combinatorics
• Enumerative Combinatorics
• Symmetric Functions
• +۳ مورد دیگر

Olya Mandelshtam is an Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo . Her research focuses on algebraic combinatorics, particularly symmetric and quasisymmetric functions, with connections to probability and interacting particle systems. Education: Ph.D. in Mathematics, University of California, Berkeley (2016), advised by Lauren Williams Presidential Postdoctoral Scholar at UCLA (2016–2017) Tamarkin Assistant Professor and NSF Postdoctoral Fellow, Brown University (2017–2021) Research Interests: Her work bridges algebraic structures (e.g., Macdonald polynomials, Koornwinder polynomials) and probabilistic models like the asymmetric simple exclusion process (ASEP) and zero-range processes (TAZRP). She explores combinatorial bijections, multiline queues, and integrable systems to study these connections. Recent Activities: She organizes the Combinatorics Seminar at Waterloo and participates in conferences such as ICERM workshops on Category Theory and Machine Learning, ICECA, and events on integrable systems in algebraic combinatorics. Advising: Current graduate students include Kartik Singh, Jerónimo Valencia Porras, Guilherme Zeus Dantas e Moura, and Harper Niergarth, with past advisee William Chan. Research collaborations include work on multiline queues, non-attacking fillings, and particle system dynamics.

Saša Adamovićمشاهده پروفایل

استاد

• Cryptography
• Biometric Security
• Internet of Things (IoT) Security
• +۳ مورد دیگر

Prof. Dr. Saša Adamović is a faculty member at Singidunum University in Belgrade, Serbia, affiliated with the Faculty of Informatics and Computer Science . His academic career spans over 15 years with a focus on Cryptography, Biometrics, and IoT Security . Born October 15, 1985, in Drvar, Bosnia and Herzegovina PhD in Advanced Security Systems (2013), Master’s in Contemporary Information Technologies (2008), and Bachelor’s in Business Informatics (all from Singidunum University) His research interests include: Biometric Cryptography Blockchain for IoT Security Catalan Number Applications in Cryptography Machine Learning in Security Systems Virtualization and Energy Efficiency Steganography and Forensics Recent publications highlight trends in: IoT Healthcare Security (2022) Biometric Authentication (2021) Combinatorial Cryptography (2021) Machine Learning for Diabetes Prediction (2021) Distance Learning Security (2023) He served as one of five Serbian representatives in the Open World program (USA) for expert exchange in technology development.

• Algebra
• Combinatorics
• Integrable Systems
• +۲ مورد دیگر

Takeshi Ikeda is a Professor at Okayama University of Science , Faculty of Science and Engineering, Department of Applied Mathematics. His research spans algebraic geometry, combinatorics, and representation theory, with a focus on Schubert calculus and integrable systems. Education: Ph.D. in Natural Science from Tohoku University (1996). Sub-affiliations: Graduate School of Fundamental Science and Engineering, Waseda Research Institute for Science and Engineering (2024–2026). Ikeda's research explores the combinatorial and algebraic properties of Schubert classes in equivariant quantum cohomology rings, particularly for isotropic Grassmannians. His work connects Pfaffian formulas, Chern classes, and tautological bundles to Schubert calculus, with applications to conformal field theory and integrable systems. Recent publications highlight trends in K-theory and equivariant cohomology , including studies of affine Grassmannians, Schur functions, and degeneracy loci. Articles from 2024–2025 emphasize quantum cohomology, Peterson isomorphism, and symplectic geometry.