Find Academic Supervisors

Alexander GlazmanView profile

Associate Professor

• Probability Theory
• Mathematical Physics
• Statistical Mechanics
• +7 more

Alexander Glazman is an Associate Professor at the University of Innsbruck , leading the FWF-funded project on Order-disorder phase transitions in 2D lattice models . His research focuses on the intersection of Probability Theory and Mathematical Physics, particularly studying phase transitions and critical phenomena in models like the Loop O(n), Six-Vertex, Ashkin-Teller, and Ising models. Education : PhD in Mathematics, University of Geneva (2016), supervised by Stanislav Smirnov. Candidate of Physico-Mathematical Sciences, St. Petersburg State University (SPbU) and PDMI (under Dmitry Karpov). Master's degree in Mathematics, St. Petersburg. Research Interests : Glazman investigates statistical mechanics models, emphasizing rigorous analysis of phase transitions, loop models, and critical phenomena. Key areas include: Loop O(n) and Six-Vertex models on hexagonal/triangular lattices. FK-percolation, Ashkin-Teller model, and their connections to random-cluster representations. Height functions, interface fluctuations, and conformal invariance. Self-avoiding walks and their universality. Recent Work Trends : His articles address interface convergence in Potts models, delocalization in Lipschitz functions, and phase diagrams of Ashkin-Teller and six-vertex models. Collaborations emphasize techniques like coupling methods, renewal theory, and Benjamini-Schramm limits. Grants & Projects : Principal Investigator (PI) of FWF Stand-Alone Grant P 34713 (€399k), studying 2D lattice models' phase transitions. Labs/Teams : Active in the Department of Mathematics at Innsbruck, contributing to probabilistic and mathematical physics research groups.

• Algebraic Geometry
• Motivic Homotopy Theory
• Algebraic K-Theory
• +3 more

Tom Bachmann is a Professor in the Department of Mathematics at Johannes Gutenberg University Mainz, Germany. His research focuses on motivic homotopy theory, algebraic geometry, and algebraic K-theory, with particular emphasis on topics such as motivic spectra, étale homotopy theory, and categorical structures in algebraic topology. He has authored numerous preprints and publications in leading journals, including collaborations with researchers like Aravind Asok, Elden Elmanto, and Mike Hopkins. His work often explores foundational aspects of motivic theory, such as P¹-stabilization, Whitehead theorems for motivic spaces, and normed motivic spectra. He currently advises four doctoral students and has previously mentored Ola Sande. Teaching responsibilities include advanced courses on motivic homotopy theory, algebraic geometry, and algebraic number theory. His academic service includes organizing research seminars and contributing to curriculum development in topics like presheaves with transfers and Galois cohomology. Contact details include his office at Staudingerweg 9, 4-423, and email tom.bachmann@zoho.com. Research interests span the intersection of algebraic geometry and homotopy theory, with a focus on categorical frameworks (e.g., Mackey functors, spectral categories) and their applications to questions in algebraic K-theory and cobordism. Recent work addresses étale motivic stable homotopy theory, nilpotence in MGL-modules, and the structure of motivic stable stems.

• Algebraic Topology
• Algebraic Geometry
• Combinatorics
• +4 more

Kyle Ormsby is an Associate Professor and Chair of the Department of Mathematics at Reed College, with an affiliate appointment as Associate Professor at the University of Washington. His expertise lies at the intersection of algebraic topology, algebraic geometry, and combinatorics. He holds a Ph.D. from the University of Michigan (2010) and a B.A. from the University of Chicago (2006). Ormsby's research focuses on motivic and equivariant homotopy theory, including studies of transfer systems, operads, and applications to geometric data analysis in neuroimaging. He has been awarded multiple NSF grants, including leadership roles in the Electronic Computational Homotopy Theory (eCHT) Research Community and the National Alzheimer’s Coordinating Center. He has advised numerous undergraduate theses and research projects, mentoring students in topics ranging from knot theory to persistent homology. His teaching spans calculus, linear algebra, topology, and advanced analysis, emphasizing inclusive pedagogy and visualization. Key honors include the NSF Mathematical Sciences Postdoctoral Fellowship (2011–2014), Rackham Fellowship (2010), and Honorable Mention for the NSF Graduate Research Fellowship (2006).

Steven LippoldView profile

Assistant Professor

• Multilinear Algebra
• Generalizations of Linear Algebra Concepts
• Combinatorics

Steven Lippold is an Assistant Professor of Mathematics at Geneva College. He holds a B.S. in Mathematics and Physics from Clarion University of Pennsylvania (2017), an M.A. in Mathematics from Bowling Green State University (2018), and a Ph.D. in Mathematics from Bowling Green State University (2023). His research focuses on Multilinear Algebra, Generalizations of Linear Algebra Concepts, and Combinatorics. His work includes studies on matrix structures, determinant-like functions, and hypergraph partitions. Dr. Lippold has been recognized with the Graduate Excellence in Teaching Award (2023), the Judyta & Bronislaw Blass Memorial Fellowship (2022), and the James Robert and Gretchen Overman Scholarship (2018-2019). He is a member of the Mathematical Association of America, Association of Christians in the Mathematical Sciences, and the American Mathematical Society. His professional certifications include Python for Data Science and Machine Learning (Udemy, 2023), Teaching and Learning Certificate (Bowling Green State University, 2020), and Google IT Automation with Python (2021). His academic journey includes consistent academic excellence, reflected in his Dean’s List status at Clarion University (2014-2017) and membership in honor societies like Phi Kappa Phi and Pi Mu Epsilon. His research contributions span algebraic structures, linear algebra extensions, and combinatorial applications, with recent publications in Linear Algebra and Its Applications and Monatshefte fu¨r Mathematik .

Yifei LouView profile

Associate Professor

• Compressive sensing
• Image analysis
• Numerical analysis
• +5 more

Yifei Lou is an Associate Professor jointly appointed in the Department of Mathematics and the School of Data Science and Society at the University of North Carolina at Chapel Hill . From 2014 to 2023 she served on the faculty of the University of Texas at Dallas, rising from Assistant to Associate Professor. Education: B.S., Peking University, 2005 Ph.D., Applied Mathematics, University of California, Los Angeles, 2010 (co-supervised by Prof. Andrea Bertozzi and Prof. Stefano Soatto) Postdoctoral Fellow, Georgia Institute of Technology, 2011–2012 (supervised by Prof. Allen R. Tannenbaum) Postdoctoral Fellow, University of California, Irvine, 2012–2014 (with Prof. Jack Xin and Prof. Hongkai Zhao) Research Interests: Dr. Lou’s work sits at the intersection of computational mathematics and data science . She develops efficient numerical tools to recover signals or images from limited measurements , exploiting sparsity, low-rankness, and tensor structures. Applications range from phase retrieval and hyperspectral imaging to seismic data completion and medical imaging . Core themes include compressive sensing , numerical optimization , and large-scale inverse problems . Recent Publication Trends: Her 2023–2025 corpus reveals a rapid pivot toward network-geometric approaches for pan-cancer genomics , neuroimaging , and immunotherapy response prediction . Papers leverage optimal mass transport , Ricci curvature , and multi-omics integration , translating sophisticated mathematical machinery into clinically actionable insights for breast cancer, melanoma, Alzheimer’s disease, and sarcoma. Scientific Awards: NSF CAREER Award (DMS-1846690), 2019–2024, “Mathematical Modeling from Data to Insights and Beyond” Grants & Workshops: NSF Workshop Grant (DMS-1821870), “Recent Developments on Mathematical/Statistical Approaches in Data Science,” May 31 – June 2, 2019 Laboratories & Collaborations: While no dedicated laboratory page is provided, Dr. Lou collaborates extensively across UNC Mathematics , the School of Data Science and Society , and interdisciplinary teams in medical imaging, oncology, and neuroscience.

Julia PevtsovaView profile

Professor

• Algebra
• Noncommutative Algebra
• Representation Theory of Lie Groups and Lie Algebras
• +3 more

Julia Pevtsova is a Professor and Graduate Program Director in the Department of Mathematics at the University of Washington. Her research interests include Algebra, Noncommutative Algebra, Representation Theory of Lie Groups and Lie Algebras, Tensor Triangular Geometry, and Homological Algebra. She has been actively involved in organizing conferences and programs, such as the MSRI semester on Noncommutative Algebraic Geometry (Spring 2024) and the Hausdorff Research Institute for Mathematics program on Spectral Methods in Algebra, Geometry, and Topology (2022). Pevtsova has taught numerous graduate and undergraduate courses, including Graduate Algebra sequences, Lie Algebras, and Algebraic Structures. She serves on editorial boards for Documenta Mathematica and Journal of Pure and Applied Algebra . Her teaching extends to outreach programs like the UW Math Circle and SIMUW summer courses on topics such as Escher and Symmetry. Pevtsova's academic contributions span editorial work, conference leadership, and extensive teaching across multiple levels.

• Applied Mathematics
• Theoretical Physics
• General Relativity
• +6 more

Christiana Pantelidou is a Royal Society – SFI University Research Fellow at the School of Mathematics and Statistics, University College Dublin , Ireland. Her work bridges Applied Mathematics and Theoretical Physics , with a focus on General Relativity , AdS/CFT correspondence , and gravitational turbulence . She holds a PhD in Theoretical Physics (2014, Imperial College London) and an M.Sc. in Quantum Fields and Fundamental Forces (2010, Imperial College London). Her research has been supported by competitive grants, including the Marie-Curie Individual Fellowship (2019) and the Royal Society - SFI University Research Fellowship (2021), which funded a PhD student and a postdoctoral researcher. Her recent publications analyze gravitational phenomena via holography, exploring topics like quasinormal modes , hydrodynamic transport , and supersymmetric color superconductors . Her work reveals spectral instabilities in black holes, transient instabilities in AdS spacetimes, and universal properties of pseudospectral contour lines. Scientific awards include: Marie-Curie Individual Fellowship (2019) Royal Society - SFI University Research Fellowship (2021) Royal Society Enhancement Grant (2022) She supervises PhD students and has coordinated courses such as Black Hole Mechanics and General Relativity . Her professional activities span conference organization , journal refereeing , and public engagement through initiatives like "Pint of Science" and the science blog "Letters from the Universe" .

Sam Kim MillerView profile

Researcher

• Representation Theory
• Tensor-Triangular Geometry
• Modular Representation Theory
• +2 more

Sam Kim Miller is a Limited Term Assistant Professor (postdoctoral position) at the University of Georgia's Mathematics Department, working with Dan Nakano and Nate Harman. He completed his Ph.D. in 2025 at the University of California, Santa Cruz under the supervision of Robert Boltje, where he focused on representation theory and tensor-triangular geometry. His educational background includes a Bachelor's degree from Harvey Mudd College in 2017, where he majored in mathematics with a concentration in political studies focusing on environmental and ethnic politics. Prior to his Ph.D., he worked as a platform engineer at SupplyFrame with experience in NLP and AI. Miller's research primarily focuses on representation theory, particularly modular representation theory, tensor-triangular geometry, and their interactions. He has made significant contributions to the study of endotrivial complexes, permutation modules, and Galois descent in representation theory. His work often bridges abstract algebra with categorical and geometric perspectives. His research output shows a strong trend toward understanding the connections between representation theory and tensor-triangular geometry, with particular emphasis on endotrivial complexes and their applications to longstanding conjectures in the field like Broue's abelian defect group conjecture. His recent work has expanded into noncommutative tensor-triangular geometry and functorial properties. UCSC Department of Mathematics (Inaugural) Outstanding Research Award (2025) Sigma Xi Full Membership (2025-) AMS-Simons Travel Grant (2025-2027) UC Santa Cruz Chancellor's Dissertation Full-Year Fellowship (2024-2025) Putnam top 500 finishers (2014, 2015) ICTM State Math Contest individual winner (2013) Miller has been active in mathematics education and outreach, serving as an instructor for various mathematics courses at both the University of Georgia and UC Santa Cruz. He has taught courses ranging from Precalculus to advanced topics in Combinatorics and Number Theory. He has also mentored undergraduate students through the Directed Reading Program and served as a peer mentor for first-year graduate students. He maintains an active research presence, regularly presenting his work at national and international conferences, including multiple AMS sectional meetings and specialized workshops in representation theory and algebraic groups across the United States and Europe.

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

Øyvind Solberg is a Professor at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), within the Faculty of Information Technology and Electrical Engineering. He holds a Cand.mag, Cand.scient, and Dr.Scient degree from NTNU and is a member of the Algebra Group at NTNU. His academic memberships include the American Mathematical Society, Norwegian Mathematical Society, and Det kongelige Norske Videnskabers Selskab (DKNVS). Research Interests Professor Solberg's research focuses on Algebraic structures and representation theory Homological algebra and cohomology rings Hopf algebras and quantum groups Koszul algebras and categories Support varieties and their applications Cotilting modules and exact categories Recent Publications His recent work includes studies on support varieties, homological invariants, and cohomology rings of finite-dimensional algebras, with a strong emphasis on axiomatic approaches and connections to Gorenstein categories. Scientific Awards DKNVS Akademiets prize for young researchers (1992) Advising and Research Leaves He has supervised 8 PhD candidates and is currently supervising 1 (since 2017). His research leaves include stays at Universität Paderborn, Oxford University, Ioannina University, Nagoya University, University of Leeds, University of Leicester, Universität Bielefeld, and Brandeis University. Labs & Teams Active in the Algebra Group at NTNU, he collaborates with international researchers on homological and representation-theoretic problems.

• Quantum Physics
• Condensed Matter Physics
• Quantum Simulations
• +7 more

Prof. Andreas Läuchli is a faculty member at the University of Innsbruck in the Department of Theoretical Physics . His research spans quantum physics, condensed matter physics, and quantum simulations, focusing on strongly correlated systems, topological order, and critical phenomena. Specializes in quantum spin systems, Chern insulators, and quantum entanglement Active in developing numerical algorithms for quantum many-body problems Investigates quantum phase transitions using tensor networks and exact diagonalization His recent publications (2023-2025) highlight work on: Emergent conformal field theory in matrix product states Field-induced quantum criticality in frustrated magnets Topological density wave order in moiré systems Quantum Monte Carlo simulations of Chern bands Dipolar cavity quantum electrodynamics He leads the Läuchli Lab at the University of Innsbruck, which develops open-source quantum simulation software packages and contributes to tensor network algorithms for entanglement studies.

Max MulderView profile

Professor

• Control Systems
• Human-Machine Interaction
• Flight Simulation
• +4 more

Max Mulder is a Full Professor in the Control & Simulation department at the Delft University of Technology , specializing in aerospace engineering. His research focuses on human-machine interaction, flight simulation, and computational methods for wave propagation analysis. With over 679 research outputs and 55 supervised works, he has made significant contributions to aviation safety and geophysical modeling. His work spans two major domains: Flight Simulation & Human Factors : Advancing motion cueing algorithms, pilot training methodologies, and stress response analysis in aviation. Wave Propagation & Seismic Modeling : Developing numerical techniques like finite elements and full-waveform inversion for geomechanical and electromagnetic applications. Recent publications highlight his interdisciplinary approach, combining aerospace control systems with geophysical wave analysis. Trends in his work include optimizing simulation fidelity, enhancing seismic inversion accuracy, and understanding human distraction in high-stakes environments. Scientific recognition includes 2022 IFAC HMS Best Paper Award Andrew P. Sage Best Transaction Paper (2018) Leermeesterprijs (2021) Best Dissertation Award (2014) and multiple editorial roles in IEEE Transactions on Human-Machine Systems and ACM Transactions on Applied Perception . Mulder actively bridges academic research with practical applications, evidenced by media engagements on cockpit automation and pilot training strategies (2018-2024). His lab focuses on integrating advanced computational techniques with human-centric aviation systems.

Ulrich ThielView profile

Professor

• Representation Theory
• Symplectic Algebraic Geometry
• Coxeter Groups
• +8 more

Ulrich Thiel is a Professor of Mathematics (Algebra) at the University of Kaiserslautern-Landau (RPTU), affiliated with the Algebra, Geometry, and Computer Algebra group. His research focuses on representation theory, symplectic algebraic geometry, and interactions with category theory, combinatorics, and computer algebra. He is deputy speaker of the DFG SFB-TRR 195 "Symbolic Tools in Mathematics and their Application." Thiel holds a PhD (2014) and a Diplom (2009) from the University of Kaiserslautern, with supervision by Prof. Gunter Malle. His awards include the DECRA (2018) and recognition for doctoral achievements (2014). His work involves computational methods, including contributions to the CHAMP Magma package and OSCAR system. His research spans symplectic singularities, representation theory of algebras, and tensor categories. Notable publications include studies on fusion categories, Hecke categories, and Calogero-Moser spaces. He supervises PhD and master's students, advising on topics like tensor categories, cellular algebras, and symplectic geometry. Thiel's funded projects include leadership in the SFB-TRR 195 and contributions to birational geometry and representation theory. His teaching covers algebraic geometry, number theory, and algebraic structures.

• Homotopy Theory
• Representation Theory
• Tensor Triangular Geometry
• +1 more

Juan Omar Gomez is a postdoctoral researcher in the BIREP group within the Faculty of Mathematics at Bielefeld University. He completed his PhD at CIMAT in Mérida, Mexico, specializing in interactions between homotopy theory and representation theory. Gomez's research explores tensor triangular geometry and its connections to algebraic structures. He co-organizes academic events including 'The Legacy of Peter Gabriel' conference and the BIREP Summer School on Finite Tensor Categories. Current scholarly activities focus on categorical methods in algebra and their applications to representation theory. No publications or awards are listed in available records.

Mark BehrensView profile

Professor

• Algebraic Topology
• Homotopy Theory
• Chromatic Homotopy
• +3 more

Mark Behrens is the John and Margaret McAndrews Professor of Mathematics at the University of Notre Dame. His research focuses on computational algebraic topology, particularly homotopy groups of spheres, chromatic homotopy theory, and applications to motivic homotopy. Education includes a PhD from University of Chicago (2003) and BS degrees in Mathematics/Physics from University of Alabama. Research develops connections between tensor-triangular geometry, topological automorphic forms, and Goodwillie calculus. Current projects investigate equivariant analogs of Mahowald's theorem and derived functors in unstable homotopy. Publications provide spectral algebra models for v-periodic phenomena, resolutions of telescope conjectures, and computational frameworks for tmf-based spectral sequences. Recent work establishes Lie algebra models for unstable homotopy and equivariant periodicity phenomena. Awards include AMS Fellowship (2022), NSF CAREER grant (2011), and Sloan Fellowship (2007). Supervises 21 PhD students and postdocs investigating equivariant homotopy, factorization homology, and operad theory. Current grants support research on equivariant and motivic deformations of stable homotopy theory.

Paul BalmerView profile

Professor

• Tensor Triangular Geometry
• Algebraic Geometry
• Modular Representation Theory
• +3 more

Paul Balmer is a Professor of Mathematics at the University of California, Los Angeles (UCLA), specializing in Algebra, Algebraic Geometry, and Representation Theory. He has held this position since 2008, following roles at ETH Zürich and other institutions. His research focuses on tensor triangular geometry, modular representation theory, homotopy theory, and Witt groups, with significant contributions to the field through over 70 publications. Education: Ph.D. in Mathematics from the University of Lausanne (1998), supervised by Manuel Ojanguren. Postdoctoral positions at the University of Western Ontario, Rutgers University, and the University of Münster. Research interests include tensor triangulated categories, algebraic K-theory, and geometric approaches to representation theory. He serves on the editorial board of the Annals of K-Theory and actively participates in conferences worldwide, including events in Ascona, Banff, Oberwolfach, and upcoming talks in Linz, Osaka, and Edinburgh. Teaching: Extensive experience in graduate and undergraduate courses at UCLA, including Algebra, Linear Algebra, Homological Algebra, and Complex Analysis. Current courses include Spring 2026 Graduate Algebra (Math 210C). Awards: Humboldt Research Award (2015-2016), Fellow of the American Mathematical Society (2012). Active in professional service, including organizing workshops and serving on academic committees.