جستجوی استاد راهنمای دانشگاهی

Gregory Smithمشاهده پروفایل

استاد

• Algebraic Geometry
• Commutative Algebra
• Symbolic Computation
• +۱ مورد دیگر

Gregory G. Smith is a Professor in the Department of Mathematics and Statistics at Queen's University, affiliated with the Faculty of Arts and Science. His research focuses on algebraic geometry, commutative algebra, and symbolic computation, with a particular interest in the interplay between positivity, convexity, and combinatorial structures. He holds a B.ScH from Queen's University, an MA from Brandeis University, and a PhD from the University of California, Berkeley. His research contributions include work on Hilbert schemes, toric varieties, and computational algebra, with publications in top-tier journals such as the Journal of the American Mathematical Society and Compositio Mathematica . He has received prestigious awards, including the Coxeter-James Prize (2012) and the André-Aisenstadt Prize (2007). Smith is also an editor of the Journal of Software for Algebra and Geometry . He has advised multiple graduate students, including Sasha Zotine (PhD 2024) and Benjamin Hersey (PhD 2021). His teaching spans undergraduate and graduate courses in algebra, geometry, and combinatorics, emphasizing rigorous mathematical reasoning and computational tools.

Kirsten Wickelgrenمشاهده پروفایل

استاد

• Homotopy Theory
• Arithmetic Geometry
• Algebraic Topology
• +۴ مورد دیگر

Kirsten Wickelgren is a Professor in the Department of Mathematics at Duke University, affiliated with Trinity College of Arts & Sciences. Her research focuses on homotopy theory and arithmetic geometry, with support from the National Science Foundation through grants DMS-2405191 and DMS-2103838. She has held academic positions at Duke, Georgia Tech, and Harvard, teaching advanced courses in algebraic topology, algebra, and geometry. Her research explores intersections of algebraic topology and number theory, including motivic homotopy theory, quadratic forms, and enumerative geometry. Notable contributions include enriched counts of geometric objects over finite fields and arithmetic counts of curves in projective spaces. Wickelgren has advised numerous PhD students, including Chongyao Chen, Cameron Darwin, and Thomas Brazelton, and has mentored undergraduate and high school research projects. She has organized conferences such as the Abel Symposium 2025 and co-organized the Mathematics Employment Experience for High School Students at Duke.

• Real Algebraic Geometry
• Combinatorics
• Convex Optimization
• +۳ مورد دیگر

Cynthia Vinzant is an Associate Professor in the Department of Mathematics at the University of Washington. Her research focuses on real algebraic geometry, combinatorics, and convex optimization, with applications to hyperbolic polynomials, determinantal representations, and convex algebraic geometry. She collaborates extensively on projects involving numerical ranges, quasicrystals, and geometric optimization problems. Research Interests: Real algebraic geometry and its connections to combinatorics and optimization Hyperbolic and log-concave polynomials Convex geometry and spectrahedra Applications in matrix analysis and statistical mechanics Her work spans theoretical advances in algebraic geometry and computational methods, including contributions to the study of principal minors, tropical geometry, and phase retrieval problems. Recent publications highlight her focus on Fourier quasicrystals, higher-rank numerical ranges, and combinatorial structures in matroids. Publications: Over 30 peer-reviewed articles, including influential works on quartic curves, determinantal representations, and log-concave polynomials. Grants & Collaborations: Active in interdisciplinary research, with projects supported by NSF and collaborations in algebraic combinatorics and geometric optimization.

Bianca Virayمشاهده پروفایل

استاد

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

Bianca Viray is a Professor in the Department of Mathematics at the University of Washington. Her research focuses on arithmetic geometry, number theory, and algebraic geometry, particularly exploring rational points on varieties and Brauer-Manin obstructions. She actively organizes the UW Number Theory Seminar and collaborates on projects addressing the distribution of mathematical potential and inclusive education. Viray's work bridges theoretical advancements with pedagogical contributions, including workshops on effective mathematical communication and resources for academic success. Her research interests emphasize the intersection of arithmetic and algebraic geometry, with a focus on quadratic points, conic bundles, and the persistence of obstructions in rationality questions. She has contributed to foundational studies on Brauer groups, del Pezzo surfaces, and the arithmetic of curves, often involving collaborations on computational algebraic geometry tools like Magma and Sage. Viray's articles span topics like quartic del Pezzo surfaces, parameterized points on curves, and number fields generated by linear systems. She advocates for equitable mathematics education through initiatives rooted in Federico Ardila’s axioms, emphasizing dignity and accessibility in academic environments.

Christopher Manonمشاهده پروفایل

دانشیار

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

Christopher Manon is an Associate Professor in the Department of Mathematics at the University of Kentucky, within the College of Arts & Sciences. His research focuses on algebraic geometry, tropical geometry, and their connections to combinatorics, representation theory, and phylogenetics. He explores topics such as toric varieties, vector bundles, Bruhat-Tits buildings, and geometric compactifications. Manon's work frequently intersects with combinatorial structures like matroids, polytopes, and phylogenetic networks. His studies on toric vector bundles and tropical geometry have advanced understanding of degenerations and moduli spaces. He has contributed to the theory of Fano varieties and Gorenstein polytopes, linking algebraic geometry with lattice theory and mirror symmetry. His recent research trends emphasize geometric families of degenerations via polytope mutations, invariants in phylogenetic models, and equivariant cohomology in arithmetic contexts. Collaborative projects include work on frame theory and conformal blocks in representation theory. Manon's research has been supported through collaborative grants, including projects on combinatorial buildings and tropical geometry. His work bridges pure mathematics disciplines such as algebraic geometry, combinatorics, and representation theory, often with applications to geometric modeling and theoretical biology.

Marcelo Fioreمشاهده پروفایل

استاد

• Category Theory
• Lambda Calculus
• Equational Logic
• +۵ مورد دیگر

Marcelo Fiore is a Professor in Mathematical Foundations of Computer Science at the Department of Computer Science and Technology, University of Cambridge, and a Fellow of Christ's College. His research spans category theory, lambda calculus, equational logic, type theory, and mathematical structures in computer science. University: University of Cambridge Department: Department of Computer Science and Technology Academic Rank: Professor College Affiliation: Christ's College Fiore's work focuses on the intersection of category theory and computer science, particularly in abstract syntax, denotational semantics, and algebraic structures. Recent publications explore combinatorial models, normalization by evaluation, and homotopy type theory applications. 2025: Creation/annihilation operators in mathematical structures 2024: Lawvere theories in toposes and differential linear logic 2023: Homotopy type theory and normalization frameworks 2022: Second-order abstract syntax formalization and quotient types Fiore has advised PhD students including N. Arkor (2022) and O.M. Elsayed (2011), who researched monadic structures and second-order algebraic theories respectively. He contributes to departmental initiatives such as the Accelerate Programme for Scientific Discovery and Data Trusts Initiative at Cambridge.

Neil Stricklandمشاهده پروفایل

استاد

• Algebraic Topology
• Stable Homotopy Theory
• Formal Groups
• +۳ مورد دیگر

Professor Neil Strickland is a faculty member at the University of Sheffield's School of Mathematical and Physical Sciences, holding the rank of Professor. He earned his PhD from the University of Manchester in 1992 and held positions as a C.L.E. Moore Instructor at MIT and a Research Fellow at Trinity College Cambridge before joining Sheffield in 1998. He received the prestigious Whitehead Prize from the London Mathematical Society in 2005. His research focuses on stable homotopy theory, exploring connections between topology, algebraic geometry, and category theory. Key areas include formal group laws, chromatic homotopy theory, and equivariant cohomology. Prof. Strickland emphasizes translating topological problems into algebraic frameworks, leveraging category theory for structural insights. Grants: He has led EPSRC-funded projects, including 'Symmetric Powers of Spheres' and 'Equivariant Elliptic Cohomology and Class Field Theory,' and collaborated on grants like 'Higher Structures on Elliptic Cohomology.' Teaching: Prof. Strickland instructs courses such as MAS334 Combinatorics and MAS435 Algebraic Topology. His homepage provides further academic resources and materials. Awards: His recognition includes the Whitehead Prize, reflecting contributions to algebraic topology and homotopy theory.

• Algebraic Topology
• Functional Analysis
• Non-Commutative Geometry
• +۷ مورد دیگر

Dr. Paul Mitchener is a Lecturer at the University of Sheffield within the School of Mathematical and Physical Sciences . He serves as the MSc Mathematics Admissions Tutor and Course Director , contributing to both research and postgraduate education. His research lies at the intersection of Algebraic Topology and Functional Analysis , with a focus on non-commutative geometry, K-theory, index theory, and coarse geometry. He has explored applications of these areas to problems in operator algebras and topology, particularly through work on the Baum-Connes conjecture, Novikov conjecture for semigroups, and coarse homotopy groups. The 15 most recent publications highlight trends in his work: (1) Coarse Geometry (2020, 2001), (2) Novikov Conjecture (2018, 2011), (3) KK-Theory and C*-Categories (2002, 2007), (4) E-Theory (2020), and (5) Descent Techniques (2012, 2010). These works frequently involve analytical methods in topological problems.

• Algebra
• Category Theory
• Commutative Algebra
• +۳ مورد دیگر

Henrik Granau Holm is a Professor in the Department of Mathematical Sciences at the University of Copenhagen. His research focuses on advanced algebraic structures within category theory and commutative algebra, with significant contributions to derived categories and quiver representations. His primary research areas include Algebra, Category Theory, Commutative Algebra, Derived Categories, Quiver Representations, and Homological Algebra. His work explores the structural properties of derived categories, particularly Q-shaped derived categories, and their applications in representation theory. Recent research investigates compact and perfect objects in ring-derived categories, tensor embeddings in Grothendieck cosmos, and vanishing properties of Tor functors. Holm's publication record shows consistent output in top mathematics journals, with multiple 2024 publications including a book on derived category methods in commutative algebra. His research demonstrates strong international collaboration, particularly with researchers in representation theory and category theory. Holm has supervised PhD students and postdoctoral researchers as indicated by departmental records. His activities include editorial work for Mathematical Reviews and Zentralblatt MATH, along with numerous lecture presentations on cohomology and AC rings dating back to 2007.

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.

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.

Mary Lee Wheat Grayمشاهده پروفایل

استاد

• Applied Statistics
• Computer Law
• Gender Issues in Mathematics
• +۴ مورد دیگر

Mary Lee Wheat Gray is a Professor of Mathematics at American University, where she has served since 1968. She holds a Ph.D. in Mathematics from the University of Kansas (1964) and a J.D. from the Washington College of Law (1979). Her academic roles include Department Chair of Mathematics and Statistics, Director of the Women's Studies Program (1988-1989), and President of the Faculty Senate. A pioneering advocate for women in mathematics, she co-founded the Association for Women in Mathematics (AWM) and served as its first president (1971-1973). She was also the second woman to become Vice President of the American Mathematical Society (1976). Her research interests span applied statistics, computer law, and gender issues in mathematics education. She has authored works in mathematics, computer science, and academic freedom. Notable publications include her foundational 1967 paper on Radical Subcategories and her contributions to AWM's history. Gray's awards include the AAAS Mentor Award (1994) and the Presidential Excellence Award (2001). She led a NSF-funded initiative (1996) to engage women in STEM and has held leadership roles in Amnesty International, AAUP, and the ACLU. Her interdisciplinary work bridges mathematics with social justice, particularly in addressing equity in education and legal systems.

Konstantin Ardakovمشاهده پروفایل

مدرس

• Algebraic geometry
• Noncommutative algebra
• Representation theory
• +۱ مورد دیگر

Konstantin Ardakov is a Tutorial Fellow in Mathematics at Brasenose College and University Lecturer in Pure Mathematics at the University of Oxford. He holds an MMath from the University of Oxford and a PhD from the University of Cambridge. His academic background includes positions at the Universities of Sheffield, Nottingham, Queen Mary University of London before returning to Oxford in 2013. Dr. Ardakov's research focuses on applying techniques from algebraic geometry and noncommutative algebra to study problems in representation theory arising from areas of algebraic number theory such as non-commutative Iwasawa theory and the Langlands programme. His work explores the geometric representation theory of p-adic groups and the development of p-adic analogues of Beilinson-Bernstein localization.

Joe Waldronمشاهده پروفایل

استادیار

• Algebraic Geometry
• Birational Classification
• Positive Characteristic
• +۳ مورد دیگر

Joe Waldron is an Assistant Professor in the Department of Mathematics at Michigan State University (MSU), located in C335 Wells Hall. His research focuses on algebraic geometry, particularly the birational classification of algebraic varieties in positive and mixed characteristic, with connections to commutative algebra and arithmetic geometry. He holds a PhD from the University of Cambridge under Caucher Birkar, followed by postdoctoral positions at Princeton University and the École Polytechnique Fédérale de Lausanne (EPFL). His work is supported by NSF Grant #2401279 and a Simons Foundation Gift #850684. Waldron is actively involved in academic outreach, co-organizing the First-Generation/Low-Income (FGLI) mentorship program in MSU's mathematics department. This initiative connects FGLI students with faculty and graduate student mentors to support their academic and career goals. He also contributes to the Michigan algebraic geometry symposium and the MSU algebra seminar. His research interests include advanced topics such as Mori fibre spaces, test ideals in mixed characteristic, and the log minimal model program (LMMP) for threefolds. He has published extensively on geometrically non-reduced varieties, singularities in positive characteristics, and purely inseparable Galois theory. Waldron’s grants fund explorations into foundational algebraic geometry problems, emphasizing cross-disciplinary connections with commutative algebra. His involvement in departmental initiatives reflects his commitment to fostering inclusive academic environments and mentoring underserved student populations.