جست‌وجوی استاد و پژوهشگر

Ricky Ini Liuمشاهده پروفایل

دانشیار

• Algebraic Combinatorics
• Algebraic Geometry
• Combinatorial Geometry
• +۵ مورد دیگر

Ricky Ini Liu is an Associate Professor in the Department of Mathematics at the University of Washington. Previously, he held positions at North Carolina State University, the University of Michigan, and the University of Minnesota. He earned his Ph.D. in Mathematics from MIT in 2010 under Alexander Postnikov. His research focuses on algebraic combinatorics, particularly its intersections with algebraic geometry, combinatorial geometry, and representation theory. Key interests include Schubert polynomials, polytopes, Hopf algebras, and Kronecker coefficients. He has contributed to foundational work on birational rowmotion, Gelfand-Tsetlin polytopes, and Fomin-Kirillov algebras. Liu has taught a wide range of courses at UW, including special topics in dynamical algebraic combinatorics, combinatorial theory, and problem-solving. He has also been a key instructor at the Mathematical Olympiad Summer Program since 2007 and mentored undergraduates in research programs at the University of Minnesota, Duluth. His publications span high-impact journals like Selecta Mathematica and Journal of Combinatorial Theory , with recent work addressing topics such as determinantal formulas for Schubert polynomials and applications of flow polytopes to diagonal harmonics. Though no specific awards are listed, his extensive publication record and academic roles reflect significant contributions to combinatorial mathematics.

David Kerrمشاهده پروفایل

استاد

• Operator Algebras
• Ergodic Theory
• Mathematical Physics
• +۳ مورد دیگر

Prof. David Kerr is a Professor at the University of Münster's Department of Mathematics, within the Faculty of Mathematics and Computer Science. His research focuses on operator algebras, ergodic theory, and mathematical physics. He has contributed to projects such as the CRC 1442 on entropy and group dynamics, and has organized conferences including 'Group Actions: Dynamics, Measure, Topology' in 2022. His work spans topics like C*-algebras, sofic groups, and dynamical systems. Education: Not explicitly detailed in the text, but his career indicates advanced training in mathematics. Research Interests: Operator algebras, ergodic theory, entropy theory, and their applications to group actions and dynamical systems. Grants/Projects: Involved in CRC 1442 projects D04 and D05, exploring entropy, C*-algebras, and dynamical tilings. Labs/Teams: Collaborates with researchers like Hanfeng Li and Robin Tucker-Drob on projects involving operator algebras and group dynamics.

• Algebraic Geometry
• Mathematical Physics
• Mirror Symmetry
• +۷ مورد دیگر

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.

Caterina Consaniمشاهده پروفایل

استاد

• Arithmetic Geometry
• Number Theory
• Non-Commutative Geometry
• +۳ مورد دیگر

Caterina Consani is a Professor of Mathematics at Johns Hopkins University's Krieger School of Arts & Sciences. She holds a PhD from the University of Chicago (1996) and a Dottore di Ricerca in Matematica from the Universities of Genoa and Turin (1993). Her research focuses on arithmetic geometry, non-commutative geometry, and the development of absolute geometry over the 'absolute point.' She has contributed to foundational work on the BC-system, the Arithmetic Site, and the Scaling Site, linking number theory with geometric frameworks. Education: PhD in Mathematics, University of Chicago (1996); Dottore di Ricerca in Matematica, Universities of Genoa & Turin (1993). Prior to Johns Hopkins, she taught at MIT (1996–1999) and the University of Toronto (1999–2005). Research Interests: Arithmetic geometry, non-commutative geometry, absolute geometry in characteristic one, connections to number theory and the Riemann Hypothesis. Collaborations include work with Alain Connes on adele class spaces and non-commutative algebraic geometry. Awards: Fellow of the American Mathematical Society (2024); 2025 Best Paper AOFA Award (Annals of Functional Analysis). Editorial roles include the Journal of Number Theory and Journal of Noncommutative Geometry. Teaching: Offers advanced courses in algebraic geometry and number theory, including topics like étale cohomology and the yoga of weights in 'Weil II.' Grants: Supported by the Simons Foundation. Organized major conferences such as the JAMI Conference on Riemann-Roch in Characteristic One (2019).

• Algebraic Geometry
• Moduli Spaces
• Stability Conditions
• +۴ مورد دیگر

Arend Bayer is a Professor of Algebraic Geometry at the University of Edinburgh's School of Mathematics, where he has been a faculty member since 2012. He specializes in areas such as stability conditions, moduli spaces, and derived categories, contributing to the understanding of Fano varieties, K3 surfaces, and wall-crossing phenomena. His research emphasizes collaboration, reflecting his belief in mathematics as a social endeavor. Education: Arend holds degrees from prestigious institutions, including a PhD from the University of Bonn, with earlier studies at Heidelberg University and a year at the University of Cambridge. His academic journey reflects a deep commitment to advancing algebraic geometry through rigorous research and interdisciplinary collaboration. Research Interests: Arend’s work focuses on algebraic geometry, particularly in stability conditions, Fano varieties, and moduli spaces. He explores the interplay between algebraic structures and geometric objects, often employing derived categories and wall-crossing techniques. His contributions include foundational insights into Kuznetsov components and the geometry of cubic threefolds. Collaborations are central to his approach, emphasizing problem-solving through shared ideas and sustained intellectual exchange. Scientific Awards: No specific scientific awards were mentioned in the provided text. Advising and Grants: While specific advising records or grant details are not detailed in the text, Arend’s collaborative approach suggests active involvement in mentoring and securing research funding. Labs and Teams: Arend contributes to a thriving research group within the School of Mathematics at Edinburgh, focusing on structural and symmetrical aspects of algebraic geometry. His work aligns with broader initiatives in the department, fostering a collaborative environment for advanced mathematical inquiry.

John Lottمشاهده پروفایل

استاد

• Differential geometry
• Geometric analysis
• Ricci curvature
• +۶ مورد دیگر

John Lott is a Professor in the Department of Mathematics at the University of California, Berkeley, specializing in Differential Geometry , Geometric Analysis , and Optimal Transport since his appointment in 2008. His research explores the interplay between Ricci curvature , metric-measure spaces , and geometric flows , with notable contributions to Ricci flow and noncommutative geometry . He has supervised multiple PhD students including Thunwa Theerakarn and Patrick Wilson , and maintains an active publication record with over 40 research papers. Selected Research Areas : Differential Geometry, Geometric Analysis, Optimal Transport, Mathematical Physics, Noncommutative Geometry Recent Publications (2020-2025) focus on Kähler manifolds , collapsing geometry , and quasilocal mass in general relativity. His work on Ricci curvature via optimal transport with Cédric Villani has become foundational in the field. Academic Affiliation : Position: Professor Institution: University of California, Berkeley Department: Mathematics

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.

Hendrik Weberمشاهده پروفایل

استاد

• Stochastic Analysis
• Stochastic Partial Differential Equations (SPDEs)
• Regularity Structures
• +۴ مورد دیگر

Prof. Dr. Hendrik Weber is a Professor of Mathematics at the University of Münster, leading the Workgroup for Stochastic Analysis. He holds the Bridging the Gaps Professorship and is affiliated with the Faculty of Mathematics and Computer Science. His expertise lies in stochastic analysis, particularly stochastic partial differential equations (SPDEs) and their applications in mathematical physics and statistical mechanics. Weber's research focuses on regularity structures, singular SPDEs, and the interplay between stochastic processes and nonlinear dynamics. Education and Career: Weber earned his PhD from the University of Bonn (2010) and held positions at the University of Warwick (2010–2018) and the University of Bath (2018–2022) before joining Münster in 2022. He has been recognized with awards including the ERC Consolidator Grant (2022), Philip Leverhulme Prize (2017), and Rollo Davidson Prize (2016). Research Interests: Weber's work addresses theoretical challenges in SPDEs, including invariant measures, phase transitions, and scaling limits. His projects span topics like singularities in PDEs, field theory randomness, and deep learning surrogate methods. Recent studies include the dynamic Φ⁴ model, stochastic quantization in non-commutative spaces, and a priori bounds for quasilinear SPDEs. Publications: Over 60 peer-reviewed articles, including high-impact contributions to Annals of Probability , Communications in Mathematical Physics , and Archive for Rational Mechanics and Analysis . His work emphasizes rigorous mathematical analysis of stochastic systems and their physical implications. Awards and Grants: ERC Consolidator Grant (2022), Royal Society Fellowship (2016), and multiple collaborative projects funded by the EPSRC and DFG. His research also bridges theoretical developments with applications in machine learning and feature engineering using regularity structures. Labs/Teams: Leads a dynamic research group comprising PhD students (e.g., Sophie Mildenberger) and postdoctoral researchers. Collaborations with global institutions like the University of Warwick and the University of Bath drive interdisciplinary advancements in stochastic analysis.

Matilde Marcolliمشاهده پروفایل

استاد

• Noncommutative Geometry
• Mathematical Physics
• Number Theory
• +۵ مورد دیگر

Matilde Marcolli is the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology (Caltech). She holds joint appointments in the Division of Physics, Mathematics, and Astronomy (PMA) and the Division of Engineering and Applied Sciences (EAS). Her research spans noncommutative geometry, mathematical physics, number theory, and mathematical linguistics. She has been recognized with prestigious awards such as the Sofja Kovalevskaya Award (2001) and the Heinz Maier Leibnitz Prize (2001). Marcolli has advised numerous PhD students and contributed to over 300 publications. Her work bridges abstract mathematics with applications in cosmology, quantum field theory, and computational linguistics. Education : PhD in Mathematics, University of Chicago, 1997 M.Sc., University of Chicago, 1994 Laurea in Mathematics, University of Pavia, 1993 Research Interests : Marcolli’s research explores the intersection of geometry, number theory, and physics. Key areas include noncommutative geometry models of particle physics and cosmology, motives in quantum field theory, and algebraic models of generative linguistics. She applies advanced techniques such as Feynman integrals, spectral action principles, and Hopf algebras to interdisciplinary problems. Grants & Awards : NSF grants DMS-2104330, DMS-1707882, and others NSERC Discovery Grant RGPIN-2018-04937 FQXi grant FQXi-RFP-1804 Collaborations & Labs : Marcolli collaborates with institutions like the Perimeter Institute and Florida State University. She leads research groups on topics such as quantum statistical mechanics, holography, and neural information networks. Her work on syntax-semantics interfaces and quantum gravity models has been pivotal in interdisciplinary studies.

Sean O'Rourkeمشاهده پروفایل

دانشیار

• Probability
• Random Matrix Theory
• Random Polynomials

Sean O'Rourke is an Associate Professor in the Department of Mathematics at the University of Colorado Boulder. His research focuses on probability, random matrix theory, and random polynomials. He has organized multiple workshops and minisymposia, including events at the Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM) and ICERM, demonstrating his active role in academic community engagement. His research spans spectral properties of random matrices (e.g., singular values, elliptic matrices, Laplacian matrices), probabilistic behavior of polynomial roots under operations like differentiation and summation, and applications of free probability theory. Recent work includes universal behavior in eigenvalue gaps, non-Hermitian matrix controllability, and asymptotic refinements of classical theorems for random polynomials. Publications highlight collaborations with researchers such as Andrew Campbell, Kyle Luh, David Renfrew, and Van Vu. His work appears in leading journals like Annals of Probability , Electronic Journal of Probability , and Transactions of the American Mathematical Society , covering topics from Gaussian fluctuations to low-rank perturbations and noncommutative harmonic analysis.

Gizem Karaaliمشاهده پروفایل

استاد

• Representation Theory
• Algebraic Combinatorics
• Humanistic Mathematics
• +۳ مورد دیگر

Gizem Karaali is a Professor of Mathematics and Statistics and Chair of the Mathematics Department at Pomona College, part of The Claremont Colleges. She holds a Ph.D. in Mathematics from UC Berkeley (2004) and a B.S. in Electrical Engineering and Mathematics from Boğaziçi University. Her research spans algebraic structures like Lie algebras, representation theory, and humanistic mathematics, with a focus on integrating social justice into mathematics education. She co-founded the Journal of Humanistic Mathematics and created innovative courses such as the first-year seminar Can Zombies Do Math? to explore mathematics’ humanistic dimensions. Research Interests: Representation Theory, Algebraic Combinatorics, Quantitative Literacy, Mathematics Education, and the intersection of math with social justice. She has published widely in journals like Advances in Mathematics , Ramanujan Journal , and Journal of Humanistic Mathematics . Awards: NSA Young Investigator Award (2011-2013), NEH Enduring Questions Grant (2014-2016), AMS Project NExT Fellow. Active in editorial roles for Journal of Humanistic Mathematics and Numeracy . Teaching: Courses include Calculus, Linear Algebra, Abstract Algebra, and interdisciplinary topics like Mathematics, Philosophy, and the Real World. Advised senior theses in diverse areas including ethnomathematics and quantitative literacy.

• Functional Analysis
• Quantum Systems with Boundary
• Quantum Control on Infinite Dimensional Systems
• +۵ مورد دیگر

Juan Manuel Pérez Pardo is an Associate Professor in the Department of Mathematics at Universidad Carlos III de Madrid, where he has been a faculty member since 2019, progressing from Assistant Professor to his current position as Associate Professor since December 2022. His academic journey includes postdoctoral research at prestigious institutions including the Istituto Nazionale di Fisica Nucleare in Naples, Italy, and the Instituto de Ciencias Matemáticas in Madrid. Dr. Pérez Pardo earned his PhD in Mathematics from Universidad Carlos III de Madrid in 2013, following a Master's degree in Mathematical Engineering from the same institution and a Master's degree in Theoretical Physics from Universidad Complutense de Madrid. His undergraduate studies were in Physics at Universidad Complutense de Madrid. His research focuses on the intersection of functional analysis and quantum physics, particularly in three main areas: Functional Analysis : Applying functional analytical tools to quantum systems, with emphasis on quadratic forms associated with differential operators and evolution equations in Hilbert spaces. Quantum Systems with Boundary : Studying quantum dynamics when boundaries are present, combining operator theory, spectral theory, and differential geometry. Quantum Control on Infinite Dimensional Systems : Developing mathematical theory for controlling quantum systems that are infinite dimensional in nature, relevant to quantum computation technologies. His publication record shows a strong focus on quantum control theory, self-adjoint extensions of differential operators, and the mathematical foundations of quantum mechanics. Recent work (2022-2025) has concentrated on stability of non-autonomous Schrödinger equations, quantum controllability, and relativistic quantum systems. Dr. Pérez Pardo has received several prestigious awards including the Juan de la Cierva Fellowship and the QUITEMAD+ Postdoctoral Fellowship. His work on boundary dynamics driven entanglement was highlighted in Europhysics News and tagged as IOPselect by the Institute of Physics. He actively mentors students at all levels, currently supervising PhD candidate Ángel Aitor Balmaseda Martín on "Quantum Control at the Boundary." He has also supervised numerous Master's and Bachelor's students on topics ranging from numerical solutions of quantum control problems to modeling Josephson junctions. Dr. Pérez Pardo is a key member of the Q-Math Research Group at UC3M and has organized multiple international workshops on Information Geometry, Quantum Mechanics, and Applications. He also serves on the editorial board of the International Journal of Geometric Methods in Modern Physics.

• Number Theory
• Arithmetic Geometry
• Shimura Varieties
• +۵ مورد دیگر

Eyal Z. Goren is a Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on arithmetic geometry, including studies of Shimura varieties, modular forms, complex multiplication, expander graphs, arithmetic dynamics, and mathematical cryptography. He is affiliated with the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), a Montreal-based group in number theory. Goren’s work bridges pure mathematics and applications in cryptography, with notable contributions to the theory of supersingular elliptic curves and cryptographic hash functions derived from expander graphs. Education : PhD in Mathematics from the Hebrew University of Jerusalem (1996), advised by Ehud De Shalit. Teaching : Teaches advanced courses such as Higher Algebra I/II, Algebra 1/2/3/4, Number Theory, and specialized topics like Unlikely Intersections. Affiliations : Active member of CICMA and the CRM (Centre de Recherches Mathématiques), collaborating on seminars and research initiatives. Research Interests : Goren’s work emphasizes the interplay between number theory and geometry, with recent focus on p-adic dynamics, canonical subgroups, and Faltings heights. His studies on Picard modular forms and Shimura varieties explore geometric structures in positive characteristic and their arithmetic implications. Publications : Over 40 articles in leading journals, including Inventiones Mathematicae , Compositio Mathematica , and Journal für die reine und angewandte Mathematik . His book Lectures on Hilbert Modular Varieties and Modular Forms is a key resource in the field. Grants and Collaboration : Engaged in collaborative projects on expander graphs, post-quantum cryptography, and the geometry of abelian varieties with complex multiplication. His research is supported by grants from the NSERC and other agencies.

Isaac Goldbringمشاهده پروفایل

استاد

• Model Theory
• Continuous Model Theory
• Nonstandard Analysis
• +۱۱ مورد دیگر

Isaac Goldbring is a Professor in the Department of Mathematics at the University of California, Irvine (UCI), where he is a leading member of the Logic and Foundations group. He also holds a courtesy appointment in the Department of Logic and Philosophy of Science. His research lies at the intersection of model theory, operator algebras, and nonstandard analysis, with significant contributions to combinatorial number theory and quantum complexity theory. His research interests include: Model theory, particularly continuous and metric model theory Applications of nonstandard analysis to algebra, analysis, and combinatorics Tracial von Neumann algebras and the Connes Embedding Problem Operator algebras and their logical properties Combinatorial number theory and ultrafilters Lie theory and geometric group theory Goldbring’s recent publications reflect a strong trend in applying model-theoretic tools to deep problems in operator algebras and quantum information. His work on the Connes Embedding Problem, especially in connection with the MIP*=RE result, has provided simpler, more direct model-theoretic proofs and stronger refutations. He has also contributed to the logical undecidability of operator algebraic properties and the model theory of C*-algebras and W*-probability spaces. His notable scientific contributions include editing the volume Model Theory of Operator Algebras and authoring influential books such as Ultrafilters throughout Mathematics and Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory . He is the Editor-in-Chief of the Journal of Logic and Analysis . Goldbring currently holds an NSF grant on model theory, quantum complexity, and embedding problems in operator algebras. He has mentored several graduate students, including Ryan Burkhart, Alec Fox, Michael Hehmann, Jennifer Pi, and Jessica Schirle. He has organized major conferences, such as the 2023 North American Annual Meeting of the Association for Symbolic Logic at UCI, and frequently gives invited lectures worldwide. He is actively involved in collaborative research with prominent mathematicians such as Bradd Hart, Ilijas Farah, and Lou van den Dries, and has delivered lecture series at institutions like Yonsei University and the National University of Singapore.

• String Theory
• Supersymmetric Field Theory
• Particle Physics
• +۴ مورد دیگر

Professor Robert G. Leigh holds a position in the Department of Physics at the University of Illinois at Urbana-Champaign, where he has been a faculty member since 1996. His research spans theoretical high energy physics, quantum gravity, and quantum information science, with significant contributions to string theory and its applications. Leigh received his bachelor's degree in theoretical physics from the University of Guelph in 1986 and completed his Ph.D. in theoretical particle physics at the University of Texas at Austin in 1991. Following postdoctoral appointments at the Institute for Particle Physics at the University of California, Santa Cruz and at Rutgers University, he joined the University of Illinois faculty. Professor Leigh's work lies at the heart of current efforts to build a fundamental theory of matter, including quantum gravity effects. His research primarily focuses on using gauge/gravity dualities (or holography) to study the physics of strongly coupled gauge theories and the strong coupling dynamics in condensed matter systems. His most notable contributions include the discovery of D-branes and orientifolds in string theory, the first example of superstring duality, and the derivation of the Dirac-Born-Infeld action describing the dynamics of D-branes. D-branes correspond to non-perturbative states unique to string theory and are analogous to magnetic monopoles in field theory. The study of D-branes is fundamental to modern string theory and its applications to particle physics, mathematics and condensed matter physics. His most recent publications demonstrate a continued focus on quantum entanglement, Chern-Simons theory, and the intersection of quantum information with gravitational physics. His work shows an evolution from fundamental string theory discoveries toward applications in condensed matter physics and quantum information through holographic methods. Fellow, American Physical Society (2007) Arnold O. Beckman Award, UIUC (December 2004) Outstanding Junior Investigator, DOE (1997-2000) Professor Leigh has taught advanced courses including Quantum Mechanics I & II, General Field Theory, Advanced Field Theory, and specialized topics in AdS/QFT Correspondence. His research program has been supported by various grants from the Department of Energy and other funding agencies. He has mentored numerous graduate students and postdoctoral researchers, contributing significantly to the next generation of theoretical physicists. His work continues to bridge multiple areas of theoretical physics, connecting string theory with quantum information science, condensed matter physics, and gravitational physics through the powerful framework of holography and gauge/gravity dualities.