جستجوی استاد راهنمای دانشگاهی

• Algebraic Geometry
• Symplectic Geometry
• Mathematical Physics
• +۱ مورد دیگر

Kazushi Ueda is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, where he has been since April 2015. His research spans algebraic geometry, symplectic geometry, and mathematical physics, with a focus on homological mirror symmetry and its applications to moduli spaces, Calabi-Yau manifolds, and singularities. He previously held academic positions at Osaka University from 2006 to 2015, including roles as Assistant Professor and Associate Professor. Ueda has also had visiting appointments at institutions such as the University of Oxford, Max Planck Institute for Mathematics, and Korea Institute for Advanced Study. Bachelor of Science, Kyoto University (1997-2001) Master of Science, Kyoto University (2001-2003) Doctor of Science, Kyoto University (2003-2006) Ueda's research explores the deep interplay between complex and symplectic geometry through mirror symmetry, particularly in the context of Calabi-Yau varieties, toric degenerations, and dimer models. His work addresses derived categories, stability conditions, and moduli problems, with recent contributions to noncommutative algebraic geometry and applications in mathematical physics. He has collaborated extensively with researchers like Akira Ishii, Masahiro Futaki, and Shinnosuke Okawa. His publications highlight homological mirror symmetry for K3 surfaces, Grassmannians, and singularities, as well as studies on modular forms, cluster transformations, and the Grothendieck ring. Ueda is a member of the Mathematical Society of Japan and has contributed to educational programs, including graduate lectures on mirror symmetry and symplectic geometry.

• Mathematics
• Number Theory
• Combinatorics
• +۳ مورد دیگر

Chan Song Heng is an Associate Professor in the Division of Mathematical Sciences at the School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Singapore. He has been affiliated with NTU since 2007. His academic journey includes a B.Sc. (Hons) in Mathematics from the National University of Singapore (2001) and a Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign (2005). His research focuses on advanced mathematical topics such as partition theory, q-series, mock theta functions, and number theory. Recent work includes studies on identities analogous to Jacobi, Fermat-Wilson theorems, and applications of Rogers-Fine identities. His publications explore combinatorial, analytic, and algebraic aspects of these fields, with notable contributions to modular forms, theta functions, and partition congruences. Dr. Chan’s articles often intersect with classical problems in mathematics, blending historical insights with modern analytical techniques. Notable themes include exploring identities through modular forms, analyzing partition statistics (ranks/cranks), and studying mock theta functions. Despite his prolific output, no specific scientific awards or student advisees are listed in the provided materials.

Frank Calegariمشاهده پروفایل

استاد

• Algebraic Number Theory
• Langlands Programme
• Galois Representations
• +۳ مورد دیگر

Frank Calegari is a Professor of Mathematics at the University of Chicago. His primary research interests include algebraic number theory, the Langlands program, Galois representations, and arithmetic geometry. He has made significant contributions to understanding reciprocity laws linking Galois representations to automorphic forms. His work often intersects with cohomology of arithmetic groups, motives, and the arithmetic of periods. Prof. Calegari has advised numerous PhD students, including Maria Stadnik, Shiva Chidambaram, and Eric Stubley. He serves on editorial boards for prestigious journals such as Algebra & Number Theory, Essential Number Theory, and the Annals of Mathematics. He actively participates in academic conferences and programs, including organizing the 2020 Arithmetic of the Langlands Program in Bonn. His research spans modularity theorems for abelian varieties, cohomology of arithmetic groups, and the study of L-functions. Key recent work includes resolving the unbounded denominators conjecture and advancing potential automorphy results over CM fields. Calegari frequently collaborates with leading mathematicians, including George Boxer, Vincent Pilloni, and Yilin Yang. He teaches advanced courses such as Honors Calculus (Math 16100) at the University of Chicago. His expository work includes lecture notes on motives and L-functions, as well as a blog compiling mathematical insights (Persiflage). Calegari’s contributions to number theory have been recognized through his editorial roles and invited lectures at institutions like the ICM and Clay Mathematics Institute.

• Algebraic Number Theory
• Elliptic Curves
• Arithmetic Geometry
• +۸ مورد دیگر

Professor Tim Dokchitser is the Heilbronn Chair in Algebraic/Arithmetic Geometry at the School of Mathematics, University of Bristol. His research focuses on algebraic number theory, elliptic curves, arithmetic of L-functions, Galois theory, and computational algebra. He actively explores connections between number theory and finite groups, using computer experiments to advance conjectures like the Birch-Swinnerton-Dyer Conjecture. BSc, Lund University MSc, Lund University PhD, University of Utrecht MA, University of Cambridge His research spans hyperelliptic curves over local fields, Weil representations, tame Galois torsion, and finite group character formulas. Recent work includes computational approaches to Frobenius traces and étale cohomology in hyperelliptic curve quotients. Articles (2023-2025) highlight advancements in arithmetic geometry, zero-knowledge cryptography, and Galois representation theory. Scientific awards include a University Research Fellowship (2011-2014) for elliptic curves and L-functions. He leads projects like the 2015-2018 study on hyperelliptic curves and contributes to collaborations across arithmetic geometry. His computational methods have inspired conjectures in motivic cohomology and modular deformations.

Abdellah Sebbarمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۷ مورد دیگر

Abdellah Sebbar is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa. He holds a PhD from Stony Brook University (1993-1997) and prior degrees from Rabat and Strasbourg. His research focuses on number theory, algebraic geometry, and modular forms, with specialties in elliptic curves, moonshine theory, and quantum groups. He has authored over 40 publications, including works on Schwarzian equations and equivariant functions. His career includes roles as CRM-ISM Postdoctoral Fellow (1997-1999), CMS Instructor (1999-2001), and Associate Professor (2004-2013) before attaining his current rank. He advises graduate students and collaborates on projects involving modular subgroups and automorphic forms. Education: 1992: BSc in Pure Mathematics, Rabat 1992-1993: DEA (Master's), Strasbourg 1993-1997: PhD in Mathematics, Stony Brook (Fulbright Scholar) Research Interests: Modular forms and functions Elliptic curves and surfaces Discrete groups and moonshine Quantum groups and mathematical physics Schwarzian differential equations Professional Timeline: 2013–Present: Full Professor, UOttawa 2004–2013: Associate Professor, UOttawa 2001–2004: Assistant Professor, UOttawa His recent work emphasizes applications of Schwarzian equations to modular forms and automorphic differential equations. Collaborative efforts with Hicham Saber and others explore equivariant functions and vector-valued modular forms. He has supervised multiple PhD/MSc students, including co-supervision with Damien Roy.

John Voightمشاهده پروفایل

استاد

• Arithmetic Algebraic Geometry
• Number Theory
• Cryptography
• +۴ مورد دیگر

John Voight is a Professor of Mathematics at the University of Sydney, affiliated with the School of Mathematics and Statistics. He holds a Ph.D. from UC Berkeley (2005) and has held academic positions at the University of Sydney, University of Minnesota, University of Vermont, and Dartmouth College. His research focuses on arithmetic algebraic geometry, number theory, and computational aspects of these fields, including modular forms, elliptic curves, and quaternion algebras. Education: Ph.D. in Mathematics, UC Berkeley (2005); earlier studies include a focus on classical piano and liberal arts at Gonzaga University. Professional trajectory includes postdoctoral roles at the University of Sydney and University of Minnesota, followed by faculty appointments at the University of Vermont (2006–2013) and Dartmouth College (2013–present). Research Interests: Arithmetic algebraic geometry: modular curves, Shimura varieties, moduli spaces, and algorithmic methods Number theory: algebraic number theory, quadratic forms, cryptography, and coding theory Computational mathematics: modular forms, quaternion algebras, and database construction (e.g., LMFDB) Publications and Recognition: Over 90 peer-reviewed articles, including contributions to Contemp. Math. , Math. Comp. , and Res. Number Theory . Recipient of the Selfridge Prize in Number Theory and recognized for teaching excellence at Dartmouth. Leads projects on Hilbert modular forms and paramodular abelian surfaces. Teaching and Mentorship: Emphasizes student-centered learning and the integration of liberal arts with STEM. Advises students on topics ranging from elliptic curves to cryptography. Active in curriculum design and promoting computational tools in mathematics education. Labs/Teams: Collaborates with the L-Functions and Modular Forms Database (LMFDB) project, contributing to computational frameworks for algebraic geometry and number theory.

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.

Ken Onoمشاهده پروفایل

استاد

• Number Theory
• Combinatorics
• Algebra
• +۶ مورد دیگر

Ken Ono is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia. He also holds courtesy appointments as Professor of Electrical and Computer Engineering, Professor of Data Science, and Professor of Statistics. Additionally, he is a Fellow of the Shannon Center for Advanced Studies and serves on the Institute for Advanced Study board of trustees and the National Security Agency Advisory Board. His educational background includes a Ph.D. in Mathematics from UCLA (1993) and a B.A. in Mathematics from the University of Chicago (1989). Throughout his distinguished career, Ono has held leadership roles including Vice President of the American Mathematical Society, Chair of the Mathematics Section of the American Association for the Advancement of Science, and Chairman of the Department of Mathematics at UVa. Ken Ono specializes in Number Theory, Combinatorics, Algebra, and Arithmetic Geometry, with recent work expanding into sports analytics and swimming optimization. His research has produced numerous publications on partition theory, modular forms, and related areas, continuing the mathematical legacy of Srinivasa Ramanujan. His recent publications demonstrate a continued focus on partition theory, modular forms, and their connections to prime numbers and combinatorial structures. The work shows sophisticated connections between classical number theory and modern mathematical physics, with applications in cryptography and data science. Guggenheim Fellowship David and Lucile Packard Fellowship Alfred P. Sloan Foundation Fellowship NSF CAREER Award Presidential Early Career Award (2000) National Science Foundation Director's Distinguished Teaching Scholar (2005) University of Chicago Alumni Medal for Professional Achievement (2023) Fellow of the American Mathematical Society Ono has advised 34 PhD students and 17 postdocs, mentoring numerous award winners including 2 Breakthrough Mirzakhani Prize winners, 9 Morgan Prize winners, and 9 Schafer Prize winners. He founded and directs the Spirit of Ramanujan Global STEM Talent Search, which has awarded 125 budding scientists from 23 countries. His research grants have supported extensive REU programs, with continuous undergraduate research opportunities for 25 years. Beyond academia, Ono serves as a technical consultant for elite swimmers, has worked as an Associate Producer on the film The Man Who Knew Infinity , and is actively involved with the Infinity Arts Foundation. His interdisciplinary work spans from pure mathematics to practical applications in sports science, where he has developed data-driven approaches to optimize swimming performance and served as a consultant for Olympic medalists. He co-founded the Velocity Swim Camp with Olympic coach Todd DeSorbo, combining mathematical analytics with elite swimming training.

Michael J. Schlosserمشاهده پروفایل

استاد

• Combinatorics
• Number Theory
• Special Functions
• +۳ مورد دیگر

Michael J. Schlosser is a faculty member at the Faculty of Mathematics , University of Vienna. His research focuses on combinatorics, number theory, and special functions, with a particular emphasis on hypergeometric and q-series, elliptic extensions, and rook theory. He has authored numerous publications in collaboration with prominent mathematicians such as Victor Guo, Meesue Yoo, and Christian Krattenthaler. Research Interests : Combinatorics and hypergeometric series Elliptic functions and their applications Partition theory and supercongruences Matrix inversions and determinant evaluations Students : Josef Küstner (Ph.D., 2022) Christian Stump (Ph.D., 2008) Editorial Roles : Associate Editor, Journal of Mathematical Analysis and Applications Editorial Board Member, The Ramanujan Journal Editorial Board Member, Journal of Algebraic Combinatorics

Danilo Bzdokمشاهده پروفایل

دانشیار

• Computational Biology
• Deep Learning
• Large Language Models (LLM)
• +۵ مورد دیگر

Danilo Bzdok is an Associate Professor in the Department of Biomedical Engineering at McGill University’s Faculty of Medicine and a Canada CIFAR AI Chair at Mila – Quebec Artificial Intelligence Institute. He holds dual expertise in systems neuroscience and machine learning, with two doctoral degrees: one in neuroscience from Forschungszentrum Jülich (Germany) and another in computer science (machine learning statistics) from INRIA–Saclay and Neurospin (France). His research bridges computational neuroscience and AI, focusing on understanding human intelligence through neuroimaging and biomedical data. Education: PhDs in Neuroscience (Jülich) and Computer Science (INRIA/Neurospin). Postdoctoral training at Harvard Medical School. Current affiliations include McGill University and Mila. Research interests span computational biology, deep learning, LLMs, and their applications in neuroimaging, precision medicine, and neurodegenerative diseases. Over 150+ peer-reviewed publications, with recent work on LLMs in autism diagnostics, brain network modeling, and social neuroscience. Key Awards: Canada CIFAR AI Chair. Lab focuses on interdisciplinary projects like AI4Science, neuroimaging analysis, and AI ethics. Supervises a dynamic team of PhD/Master’s students and postdocs. Collaborations include clinical institutions and industry partners through Mila’s Applied Research programs.

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Cameron Franc is an Associate Professor in the Department of Mathematics & Statistics at McMaster University. He holds a Ph.D. from McGill University (2011) and a B.Sc. from Queen's University (2006). His research focuses on number theory, algebraic geometry, and vertex operator algebras, with a particular emphasis on modular forms and their applications. He has contributed to topics such as p-adic analysis, representation theory, and Fuchsian groups. Teaching responsibilities include advanced courses like Cryptography (MATH 3CY3), Algebra I (MATH 701), and Number Theory (MATH 3H03), reflecting his expertise in foundational and specialized mathematical areas. He has published extensively in journals such as Communications in Algebra, Mathematika, and Canadian Journal of Mathematics. His work bridges pure mathematics with interdisciplinary applications, including studies in automorphic forms and geometric structures. Research highlights include exploring unbounded denominators conjectures, p-adic vertex algebras, and vector-valued modular forms. Despite no explicit awards listed, his contributions to modular form theory and algebraic structures demonstrate significant scholarly impact.

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +۳ مورد دیگر

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).

Richard M. Greenمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Representation Theory
• Coxeter Groups
• +۷ مورد دیگر

Dr. Richard M. Green is a Professor of Mathematics at the University of Colorado Boulder, where he has been teaching since at least 2001. He holds a Ph.D. from the University of Warwick (1995) and specializes in algebraic combinatorics and representation theory. His teaching portfolio includes undergraduate courses like Calculus 3 and Number Theory, as well as graduate courses in Algebra and Ring Theory. Education: Ph.D. in Mathematics, University of Warwick, 1995 Dr. Green's research focuses on the intersection of algebra and combinatorics, with particular emphasis on Coxeter groups, Hecke algebras, and diagram algebras. His work explores the combinatorial structures underlying representation theory, including Kazhdan-Lusztig theory, heaps of pieces, and minuscule representations. He has made significant contributions to understanding the structure of cellular algebras and their connections to Lie theory. His 2013 book "Combinatorics of Minuscule Representations" (Cambridge University Press) is a major reference in the field. Analysis of Dr. Green's recent publications reveals a continued focus on Coxeter groups and their generalizations, with increasing attention to 2-roots, orthogonal structures, and connections to Weyl groups. His work demonstrates a consistent thread connecting combinatorial structures with representation-theoretic phenomena, particularly in the context of Kazhdan-Lusztig theory and cellular algebras. The research shows progression from foundational work on Temperley-Lieb algebras to more sophisticated analyses of Coxeter group structures and their applications. Dr. Green has authored numerous scholarly publications and his book "Combinatorics of Minuscule Representations," which has established him as a leading researcher in algebraic combinatorics. His Erdős number is 3, indicating significant connections to the broader mathematical community. As an educator, Dr. Green has supervised numerous undergraduate and graduate students through coursework and independent studies. His teaching spans the mathematics curriculum from introductory calculus to advanced graduate algebra. He has taught a wide range of courses including MATH 2400 (Calculus 3), MATH 3110 (Number Theory), MATH 3170 (Combinatorics 1), and graduate courses MATH 6130/6140 (Algebra 1/2) and MATH 6250 (Theory of Rings). His teaching philosophy emphasizes clear exposition of complex mathematical concepts. Dr. Green maintains active research collaborations and contributes to the academic community through publications and participation in the Rocky Mountain Algebraic Combinatorics Seminar. His work continues to influence both theoretical developments in algebraic combinatorics and pedagogical approaches to advanced mathematics.

Ezra Millerمشاهده پروفایل

استاد

• Geometry
• Algebra
• Probability
• +۷ مورد دیگر

Ezra Miller is a Professor of Mathematics at Duke University, specializing in algebraic geometry, combinatorics, and their applications to biology and statistics. His work bridges pure mathematics with interdisciplinary research, including studies in phylogenetic trees, geometric probability, and algebraic statistics. He holds positions in the Mathematics Department at Duke and has contributed to the Statistical and Applied Mathematical Sciences Institute (SAMSI) programs. Education: Details not explicitly provided in the text, but his academic journey includes a Ph.D. from UC Berkeley and postdoctoral research. His research interests span geometry, algebra, probability, statistics, topology, combinatorics, algorithms, and computational biology. He has advised students in algebraic combinatorics and related fields. Research emphasizes geometric and combinatorial structures, with notable projects on phylogenetic data analysis, hypergeometric systems, and Gröbner basis theory. His work often integrates computational methods with theoretical frameworks. Notable collaborations include studies on metric phylogenetic trees, topological data analysis, and combinatorial game theory. He has taught advanced courses in algebra, combinatorics, and applied mathematics at Duke. Labs/Teams: Active in SAMSI's Analysis of Object Data program and collaborates with statisticians and biologists on interdisciplinary projects.

Noriko Yuiمشاهده پروفایل

استاد

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +۳ مورد دیگر

Noriko Yui is a Professor of Mathematics at Queen's University in Kingston, Ontario. She holds academic affiliations within the Department of Mathematics and Statistics under the Faculty of Arts and Science. Her research bridges number theory, algebraic geometry, and mathematical physics, with a focus on arithmetic geometry and mirror symmetry, particularly in the modularity of Calabi-Yau threefolds. Yui earned her B.S. from Tsuda College (1966) and her Ph.D. in Mathematics from Rutgers University (1974), supervised by Richard Bumby. She has held visiting roles at the Max-Planck-Institute in Bonn and Newnham College, University of Cambridge. Her work includes collaborations with Fernando Q. Gouvêa, notably proving the modularity of rigid Calabi-Yau threefolds over Q. Her research areas span arithmetic geometry, number theory, algebraic/differential geometry, and particle physics theory. Key contributions include studies on L-functions, mirror symmetry, and the applications of Calabi-Yau manifolds in physics. Since 2007, she has served as managing editor of the journal Communications in Number Theory and Physics . Yui co-authored influential works such as Generic Polynomials: Constructive Aspects of the Inverse Galois Problem and edited volumes like Mirror Symmetry V . Her research emphasizes interdisciplinary connections between mathematics and theoretical physics, particularly in string theory contexts.