Find Academic Supervisors

Federico Ardila-MantillaView profile

Professor

• Combinatorics
• Algebraic Combinatorics
• Geometric Combinatorics
• +5 more

Federico Ardila-Mantilla is a Professor of Mathematics at San Francisco State University and an Adjunct Professor at Universidad de los Andes, Colombia. His research focuses on combinatorics and its connections to geometry, algebra, and topology, with notable contributions to matroid theory, polytopes, and tropical geometry. He is also deeply involved in promoting equitable and inclusive mathematics education through initiatives like the SFSU-Colombia Combinatorics Initiative . His work bridges pure mathematics and applications, particularly in robotics and discrete geometry. He has held visiting positions including at the Institute for Advanced Study (Princeton, 2024-25). His research spans over 60 publications, emphasizing interdisciplinary approaches to combinatorial problems. Ardila advocates for accessibility in mathematics through axioms such as 'Mathematical potential is equally present in all groups' (cited widely in educational contexts). Key areas of research include algebraic structures on polytopes, Lagrangian geometry of matroids, and geometric enumeration. He collaborates internationally and mentors students across institutions. His outreach efforts aim to make mathematics accessible to underrepresented communities.

• Arithmetic Geometry
• Algebraic K-Theory
• Non-Archimedean Geometry
• +1 more

Prof. Dr. Georg Tamme is a faculty member at the Institute of Mathematics (Johannes Gutenberg University Mainz). His research focuses on Arithmetic Geometry and Algebraic K-Theory , with significant contributions to non-Archimedean geometry, motivic homotopy theory, and regulator maps. Research Interests: Tamme's work bridges Algebraic K-Theory Arithmetic Geometry Non-Archimedean Geometry Differential Algebraic K-Theory Advising: He supervises doctoral students including Andreas Gieringer Luca Passolunghi

• Operator Algebra
• C*-algebras
• K-theory
• +3 more

Søren Eilers is a Professor at the Department of Mathematical Sciences , University of Copenhagen. His research focuses on Operator Algebras , particularly the classification of C*-algebras related to discrete and low-dimensional structures. He is a member of the FNU network 'Automorphisms and Invariants for Operator Algebras' and advocates for experimental mathematics using computational methods in pure mathematics. Education: MS in Mathematics and Computer Science, University of Copenhagen (1993) PhD in Mathematics, University of Copenhagen (1995) Research Interests: Operator Algebras K-theory Symbolic Dynamics Discrete Mathematics Experimental Mathematics Recent Publications (2016-2024) demonstrate expertise in graph C*-algebras , symbolic dynamics , and computational approaches to pure mathematics, with key collaborations in Denmark, Japan, Canada, and the U.S. Scientific Leadership: President, Danish Mathematical Society (2006-2008) Principal Investigator, Villum Fonden (2012-2016) Main Organizer, Mittag-Leffler Institute Program (2016) Advisory Roles: Supervised 28 master's theses and mentored 9 PhD students/postdocs (2003-2022) across institutions in Denmark, Canada, Japan, and the U.S.

Joachim KockView profile

Associate Professor

• Category theory
• Homotopy theory
• Combinatorics
• +4 more

Joachim Kock is an Associate Professor at the Department of Mathematical Sciences, University of Copenhagen, with research focusing on category theory, homotopy theory, combinatorics, and algebraic geometry. His work explores intersections with probability theory, mathematical physics, and computer science, particularly through decomposition spaces, operads, and categorical structures. Education: Not explicitly mentioned External Employment: Professor Titular at Autonomous University of Barcelona Research Areas: Category theory and higher structures Homotopy-theoretic combinatorics Decomposition spaces and incidence algebras Applications in computer science and mathematical physics Recent Publications: 2024: ∞-operads as symmetric monoidal ∞-categories 2022: Tracelet Hopf Algebras and Decomposition Spaces 2022: Infinity-Operads as Analytic Monads 2021: Every 2-Segal space is unital 2021: Operadic categories and decalage Editorial Activities: Editor, Theory and Applications of Categories (since 2017) Editor, Higher Structures (2016–2022) Editor, Compositionality (since 2018)

Zeyu DingView profile

Assistant Professor

• Privacy
• Algorithmic Fairness
• Machine Learning
• +5 more

Zeyu Ding is an Assistant Professor in the School of Computing at Binghamton University, with a courtesy appointment in the Department of Mathematics and Statistics. He holds two PhDs: one in Computer Science from Penn State University and another in Mathematics from Binghamton University, along with a BS in Mathematics from Zhejiang University. Research Interests His work focuses on the intersection of privacy, security, machine learning, and algorithmic fairness. He investigates how to protect sensitive personal information through differential privacy mechanisms, formal verification, numerical optimization, and privacy-preserving statistical inference. Article Trends Ding's publications highlight advancements in differential privacy, including the Report Noisy Max with Gap Mechanism and the Permute-and-Flip approach. His research also addresses security challenges like reconstruction attacks and automated verification tools (e.g., Checkdp and DPGen), alongside mathematical explorations of automorphism group schemes and Barsotti-Tate groups. Scientific Awards CCS Outstanding Paper Award, 2018 Caper Bowden PET Award Runner-up, 2019 CCS Best Paper Award Runner-up, 2020 CCS Best Paper Award Runner-up, 2021 Research Award from Penn State University, 2019 Teaching Award from Penn State University, 2021 His research is supported by the NSF grant 2317233, underscoring his contributions to privacy-preserving computational methods.

• Real Algebraic Geometry
• Combinatorics
• Convex Optimization
• +10 more

Cynthia Vinzant is an Associate Professor in the Department of Mathematics at the University of Washington, College of Arts and Sciences. Her research lies at the intersection of real algebraic geometry, combinatorics, and convex optimization, with a focus on polynomials, determinants, and matroids. Ph.D., Mathematics, UC Berkeley, 2011 B.A., Mathematics and Neuroscience, Oberlin College, 2007 Her research interests include real algebraic geometry, combinatorics, convex optimization, tropical geometry, and spectrahedra. She studies the algebraic and combinatorial structures underlying optimization problems and geometric objects, particularly through the lens of hyperbolic and log-concave polynomials. Her recent publications span topics such as tropicalization of principal minors, determinantal representations, Fourier quasicrystals, and log-concave polynomials. These works demonstrate strong interdisciplinary connections across algebraic geometry, combinatorics, optimization, and mathematical physics. Sloan Research Fellowship (2020) Best Paper Award, STOC (2019) von Neumann Fellowship, IAS (2020–2021) Bernard Friedman Prize, UC Berkeley (2011) Rebecca Cary Orr Prize, Oberlin College (2007) She has advised several Ph.D. students including Tracy Chin, Jonathan Niño-Cortes, Joseph Rogge, Faye Pasley Simon, Michael Ruddy, Georgy Scholten, and Abeer Al Ahmadieh. She has received significant NSF funding, including a CAREER award (2020–2025) on determinantal, hyperbolic, and log-concave polynomials. She has taught courses in tropical geometry, convex algebraic geometry, and optimization at both the University of Washington and North Carolina State University.

Vanessa MiemietzView profile

Professor

• Representation Theory
• Homological Algebra
• 2-Representation Theory
• +4 more

Vanessa Miemietz is a Professor of Pure Mathematics at the University of East Anglia , based in the School of Engineering, Mathematics and Physics. Her research focuses on representation theory, homological algebra, and categorification, with specializations in 2-representation theory and algebraic structures related to finite-dimensional algebras and algebraic groups. Education: PhD in Mathematics (Dr.rer.nat), University of Stuttgart (2002–2005) Diploma in Mathematics (Dipl.Math), University of Stuttgart (1997–2001) Research Interests: Structural properties of representation categories, categorification phenomena, and applications of homological algebra in Lie-theoretic contexts. She actively explores connections between algebraic groups and finite-dimensional algebra representations, with a focus on advancing 2-representation theory frameworks. Projects & Grants: Lead on 2-representation theory projects funded by EPSRC (2019–2023, 2025–2028) Hosted LMS Prospects in Mathematics Meeting (2021) Collaborative grants with Dr. R. Laugwitz and Dr. Jyun-Ao Lin Editorial Roles: Editorial Board Member, Applied Categorical Structures (2023–present) Editorial Board Member, Communications in Algebra (2021–present) Supervision & Mentoring: Supervises PhD students in representation theory of algebraic groups and homological algebra. Open to discussing projects beyond listed opportunities and securing funding alternatives.

Frederik MarksView profile

Researcher

• Algebra
• Representation Theory
• Homological Algebra
• +3 more

Fredrik Marks is a Researcher at the Institute of Algebra and Number Theory at the University of Stuttgart. He holds a PhD in Mathematics from the University of Stuttgart (2011-2014) and completed his Habilitation in Mathematics there in 2022. His research focuses on algebra, representation theory, homological algebra, category theory, and silting/tilting theory. Marks has coordinated the DFG-funded Network on Silting Theory since 2021 and led a Baden-Württemberg Stiftung postdoctoral grant (2020-2024). He has organized numerous conferences, including the 2019 Two Weeks of Silting conference and the 2022 Silting Theory, Algebras and Representations workshop. His teaching portfolio includes courses such as Fachdidaktik 2 , Algebra 2 , and seminars on tilting theory and polynomials over finite fields. His publications explore advanced topics like universal localisations, torsion classes, and functorial approaches to triangulated categories. Awards include a DAAD PRIME fellowship (2015-2016) and ongoing DFG/DFG support for collaborative research.

Idun ReitenView profile

Professor

• Representation Theory
• Algebra
• Commutative Algebra
• +7 more

Idun Reiten is a Professor of Mathematics at the Norwegian University of Science and Technology (NTNU), where she has been a faculty member since 1974. Born on January 1, 1942, she earned her Master's degree in Mathematics from the University of Oslo (1968) and her Ph.D. from the University of Illinois (1971), advised by Robert Fossum. Her research focuses on representation theory of algebras, tilting theory, and cluster algebras, with over 130 publications and a seminal book co-authored with Maurice Auslander and Sverre Smalø, *Representation Theory of Artin Algebras* (1995). Key academic roles and recognitions include: Elected to the Royal Swedish Society of Science and Letters (2007) Recipient of the Humboldt Research Prize (2005), Möbius Prize (2007), and Fridtjof Nansen Award (2009) Delivered the 2010 Emmy Noether Lecture at the International Congress of Mathematicians Member of the Norwegian Academy of Science and Letters Research.com Leader in Mathematics for Norway (2024, 2025) Her research contributions include foundational work in tilting theory, cluster-tilted algebras, and the study of Cohen-Macaulay modules. Her work bridges algebra, combinatorics, and geometry, with applications in categorical structures and representation theory.

• Algebraic Topology
• Category Theory
• Lie Groups
• +3 more

Halvard Fausk is an Associate Professor at Oslo Metropolitan University, affiliated with the Faculty of Technology, Art and Design and the Department of Computer Science, specifically the Mathematical Modelling group. His research focuses on algebraic topology, category theory, and homotopy theory. His work includes foundational studies on equivariant homotopy theory for pro-spectra and pro-finite groups, induction theorems for compact Lie groups, and explorations of adjoint isomorphisms. Publications span journals like Geometry and Topology , Transactions of the American Mathematical Society , and Homology, Homotopy and Applications . He has co-authored key textbooks such as Lineær Algebra (2024) and Mattenøkkelen (2014), targeting undergraduate education. His recent research trends emphasize algebraic structures in topology, while historical work includes contributions to model categories and topological group theory.

• Number Theory
• Automorphic Forms
• Representation Theory
• +3 more

Jennifer Johnson-Leung serves as Professor in the Department of Mathematics and Statistical Science within the College of Science at the University of Idaho, with additional affiliation as Participating Faculty at the Institute for Modeling Collaboration and Innovation under the Office of Research and Economic Development. Her academic credentials include: PhD in Mathematics from the California Institute of Technology (2005) BS in Chemistry and Mathematics from the College of William and Mary (1998) Professor Johnson-Leung maintains a dual research focus bridging pure mathematics and applied epidemiology. In theoretical mathematics, she investigates Siegel modular forms, paramodular forms, Hecke algebras, and representation theory, advancing understanding of automorphic forms and their connections to algebraic geometry. Her applied work develops spatial statistical models for sociodemographic risk assessment in public health crises, particularly during the COVID-19 pandemic, utilizing techniques like elastic net regression to analyze vaccination behavior and mortality patterns. Analysis of her recent publications reveals equal emphasis on deep theoretical number theory problems and urgent public health applications. The mathematical works explore structural properties of modular forms and representation theory, while epidemiological studies dissect complex interactions between political ideology, social vulnerability, and pandemic outcomes across U.S. populations. No specific scientific awards were documented in the provided materials. Information regarding graduate student advising and research grant funding remains unspecified in the available documentation. No dedicated research laboratories or specialized collaborative teams were mentioned in the source materials.

Ming GuView profile

Professor

• Numerical Linear Algebra
• Scientific Computing
• Matrix Computations
• +3 more

Ming Gu is a Professor in the Department of Mathematics at the University of California, Berkeley . He specializes in Numerical Linear Algebra and Scientific Computing , with a focus on developing efficient algorithms for structured matrices and large-scale data analysis. Organized Matrix Computations and Scientific Computing Seminars (2009-2017) Published 15+ papers on QR algorithms , Toeplitz matrices , randomized algorithms , and low-rank approximations His research addresses rank-revealing factorizations , randomized subspace iteration , and preconditioning techniques , often bridging numerical analysis with applications in machine learning and optimization . Students advised by him (e.g., Jiaming Wang, Onyebuchi Ekenta) have explored spectrum-revealing CUR decomposition and truncated SVD . Contact: mgu@math.berkeley.edu Office: 861 Evans Hall, UC Berkeley

• Representation Theory
• Quantum Groups
• R-matrices
• +3 more

Ryo Fujita serves as an Assistant Professor at the Research Institute for Mathematical Sciences (RIMS), Kyoto University, a position he has held since April 2021. His research focuses on the representation theory of algebras arising from simple Lie algebras or their root systems, including quantum groups and Hecke algebras. Fujita's work particularly examines the structure of module categories and related geometric objects, with significant contributions to the theory of affine quantum groups, quiver varieties, R-matrices, and quantum Grothendieck rings. His educational journey at Kyoto University spans from undergraduate studies (2010-2014) to doctoral degree (awarded in March 2019). The key milestones include: Bachelor of Science, Faculty of Science, Kyoto University (2010-2014) Master of Science, Graduate School of Science, Division of Mathematics, Kyoto University (2014-2016) Doctor of Science, Graduate School of Science, Division of Mathematics, Kyoto University (2016-2019) Fujita's research interests lie at the intersection of algebra, geometry, and representation theory. He specializes in quantum groups, R-matrices, quiver varieties, and cluster algebras, with a focus on affine quantum groups. His investigations into the module categories of these algebras have uncovered deep connections to geometric representation theory and categorification. Fujita's work often bridges abstract algebraic structures with combinatorial and geometric frameworks, advancing the understanding of quantum symmetries and their applications. Analysis of Fujita's publications from 2018 to 2024 reveals a cohesive research trajectory centered on quantum affine algebras and related structures. His work consistently explores deformed Cartan matrices, generalized preprojective algebras, quantum Grothendieck rings, and the singularities of R-matrices. A notable trend is the interplay between algebraic representation theory and geometric constructions like quiver varieties, often mediated by cluster algebra structures. This approach has led to significant advances in understanding the categorical and combinatorial aspects of quantum group representations. Fujita currently leads a Grant-in-Aid for Early-Career Scientists (2023-2026) titled "Study on the representations of affine quantum groups using quivers with potentials". He is also a key participant in a major Grant-in-Aid for Scientific Research (S) project (2021-2026) on "Representation theory of vertex algebras for the 21st century". Previously, he held a JSPS Research Fellowship (2018-2020) supporting his foundational work on quantum affine algebras. Based at RIMS, Kyoto University, Fujita is embedded in one of Japan's premier mathematical research environments. He collaborates closely with mathematicians including Kota Murakami and Hironori Oya, as evidenced by joint publications. His research group and collaborations extend internationally, with presentations at institutions worldwide, reflecting the global impact of his work in representation theory.

• complex differential geometry
• Monge-Ampère type equations
• infinite dimensional geometries
• +3 more

Tamás Darvas is a Professor in the Department of Mathematics at the University of Maryland, College Park. He maintains an active research program in complex differential geometry and serves as a key organizer of the Informal Geometric Analysis Seminar, which provides a forum for researchers and graduate students interested in geometric analysis across multiple academic years from 2015 through 2024. Professor Darvas's research focuses on complex differential geometry, Monge-Ampère type equations, and infinite dimensional geometries. His work explores the deep connections between geometric analysis, pluripotential theory, and complex Monge-Ampère equations. He has made significant contributions to understanding the metric geometry of spaces of Kähler metrics, particularly in big cohomology classes, developing important results related to twisted Kähler-Einstein metrics and the structure of singularity types. His research often bridges abstract mathematical theory with concrete geometric problems. Analysis of Darvas's publication record reveals a consistent focus on the interplay between complex geometry, pluripotential theory, and metric geometry. His most recent works examine lines in Kähler metric spaces, transcendental approaches to non-Archimedean metrics, and the Hausdorff distance on toric singularity types. A notable trend in his research is the extension of classical results from Kähler geometry to more general settings, particularly when working with big cohomology classes rather than just Kähler classes, as demonstrated in his significant 2024 paper establishing a uniform Yau-Tian-Donaldson existence theorem for Kähler-Einstein metrics. Professor Darvas is actively engaged with the mathematical community, co-organizing the thematic semester "Analysis and geometry on complex manifolds" in Budapest for August-December 2025. While specific grant information isn't provided in the available texts, his extensive publication record across top journals indicates ongoing research support. Through the Informal Geometric Analysis Seminar he helps organize, he provides mentorship opportunities for graduate students interested in geometric analysis, creating an environment where students of all levels are encouraged to attend and participate in discussions.

Cheng HuangView profile

Assistant Professor

• Computational Fluid Dynamics
• Aerospace Propulsion
• Data-driven Modeling
• +3 more

Cheng Huang is an Assistant Professor in the Department of Aerospace Engineering at the University of Kansas. His research focuses on computational fluid dynamics, aerospace propulsion, turbulent combustion modeling, and reduced-order modeling techniques. He is affiliated with the Computational AeroPropulsion Laboratory and can be contacted at chenghuang@ku.edu. Education: B.S. from Shanghai Jiaotong University M.S. and Ph.D. from Purdue University Research Interests: LES Modeling of Turbulent Reacting Flows Data-Driven and Reduced-Order Modeling of Complex Fluid Flows Combustion Instability Analysis in Aerospace Propulsion Recent Work Trends: His publications emphasize reduced-order modeling techniques for rocket combustion dynamics, rotating detonation engines, and multiscale fluid systems. Key methodologies include projection-based models, data-driven approaches, and nonlinear approximations of latent dynamics.