Find Academic Supervisors

• Geometric Topology
• Geometric Group Theory
• Low-Dimensional Topology
• +6 more

Prof. Harry Hyungryul Baik is a Tenured Associate Professor at KAIST's Department of Mathematical Sciences since 2017. He holds a PhD from Cornell University (2014) and a B.S. from KAIST (2009), advised by William Thurston, John Hubbard, and Dylan Thurston. His research focuses on geometric topology, geometric group theory, and low-dimensional topology, with notable contributions to mapping class groups, Kleinian groups, and Teichmüller theory. Education: PhD in Mathematics (Cornell, 2014), B.S. in Mathematics (KAIST, 2009). Key research areas include asymptotic translation lengths, laminar groups, and circular orders of groups. He co-leads the KAIST-KIAS joint research group 2K-GATE as Director, emphasizing collaboration between topologists. Research highlights: Characterization of Fuchsian groups via laminations, unsmoothability of mapping class group actions on 1-manifolds, and exponential torsion growth in random 3-manifolds. His work bridges topology with dynamical systems and geometric group theory, often involving collaborations with institutions like KIAS and MPIM. Awards include the Sangsan Prize (2018), Young-KAST membership (2020–2023), and multiple grants from Samsung and POSCO. He advises 7 PhD students and has mentored 15+ alumni, many of whom hold postdoc positions globally. His lab actively hosts conferences like the KAIST Geometric Topology Fair. Labs/Teams: Director of 2K-GATE (KAIST-KIAS), core member of the KAIST Topology Research Group, collaborator with international networks including the Harvard-MIT-Princeton topology axis.

• Finite Groups
• Algebraic Groups
• Representation Theory
• +3 more

Robert Guralnick is a Professor of Mathematics at the University of Southern California’s Dornsife College of Letters, Arts and Sciences. His research focuses on finite and algebraic groups, representation theory, and arithmetic algebraic geometry. He has made significant contributions to understanding group structures, character theory, and subgroup dynamics in both finite and algebraic contexts. His work spans advanced topics such as Sylow subgroup analysis, commutator properties, and probabilistic group generation. Recent studies include investigations into invariable generation in simple groups and generic stabilizers in algebraic group actions. Guralnick’s research often bridges abstract group theory with geometric and topological methods, addressing foundational questions in algebraic structures. His publications highlight interdisciplinary approaches to group theory, including applications to cohomology, combinatorics, and representation theory. Despite no explicit mention of awards, his extensive publication record reflects sustained academic impact in pure mathematics. Guralnick’s advising and grant activities are not detailed here, though his prolific research output suggests active mentorship and funding support. No specific lab affiliations or teams are noted in the provided texts.

• Zeta Functions
• Group Theory
• Representation Theory
• +4 more

Prof. Dr. Christopher Voll is a full Professor at the Faculty of Mathematics, Bielefeld University , Germany. He leads multiple subprojects in the Transregional Collaborative Research Center TRR 358 'Integral Structures in Geometry and Representation Theory' , including A1 (lattices), A4 (Euler products), and A6 (quiver zeta functions). His research bridges algebra, number theory, and combinatorics through zeta functions, subgroup growth, and representation theory.

Colva Roney-DougalView profile

Professor

• Group Theory
• Abstract Algebra
• Combinatorics
• +3 more

Colva Roney-Dougal is a Professor of Pure Mathematics at the University of St Andrews, affiliated with the School of Mathematics and Statistics. She holds roles in the Centre for Interdisciplinary Research in Computational Algebra and the St Andrews GAP Centre. Her research focuses on group theory, computational algebra, and combinatorics, with particular emphasis on symmetric groups, permutation groups, and algorithmic aspects of group theory. She has advised PhD students including Jung Won Cho, Coen Del Valle, and Peiran Wu. Her work includes editing conference proceedings such as 'Groups St Andrews 2022' and contributing to foundational studies in group structure and relational complexity. Awards include an OBE for services to science and mathematics, and recognition for impactful research outputs. Her publications span theoretical advances in group actions, graph symmetry, and computational methods, often involving collaborations with leading mathematicians. She actively participates in international conferences, delivering plenary lectures and organizing workshops on group theory and its applications.

Adam LowranceView profile

Associate Professor

• Low-dimensional Topology
• Knot Theory
• 3-Manifold Theory
• +3 more

Adam Lowrance is an Associate Professor of Mathematics and Statistics at Vassar College, where he has served since 2012. He holds a BA in Mathematics and Computer Science from Amherst College and a PhD in Mathematics from Louisiana State University. His research focuses on low-dimensional topology, particularly knot theory and 3-manifold theory. Recent work has explored properties of 2-bridge knots, Turaev genus, Khovanov homology, and geometric invariants. His publications frequently intersect algebraic and geometric approaches to topological problems. Teaching responsibilities include Linear Algebra (MATH 221) and Advanced Linear Algebra (MATH 364). He maintains an active research program with a focus on undergraduate research, as evidenced by grants such as the NSF RUI initiative. Professional activities include service on departmental committees and contributions to topological research communities. Contact details: adlowrance@vassar.edu , Rockefeller Hall Box 302.

• Computational Algebra
• Group Theory
• Finite Groups
• +4 more

John J Cannon is a Professor in the School of Mathematics and Statistics at the University of Sydney. He is a member of the Computational Algebra research group and maintains an office in Room 618 of the Carslaw Building. His work has significantly contributed to the field of computational group theory and algebraic computation. University: University of Sydney School: School of Mathematics and Statistics Department: Computational Algebra Position: Professor Professor Cannon's research primarily focuses on computational algebra, group theory, and finite groups. His work has been instrumental in developing algorithms for permutation groups, matrix groups, and computational representation theory. He has made substantial contributions to the understanding of subgroup structures, conjugacy classes, and modular representations in finite groups. His publications demonstrate a consistent trajectory from foundational work in the 1970s through to cutting-edge research in computational algebra up to 2020. The trend in his recent work shows a continued focus on structural computations in large finite groups, with increasing sophistication in handling modular representations and computational challenges in group theory. Professor Cannon is best known as one of the principal developers of the Magma computational algebra system, which has become a standard tool in computational algebra and number theory. His work on Magma has enabled researchers worldwide to perform complex algebraic computations that were previously infeasible. Throughout his career, Professor Cannon has maintained extensive collaborations with leading researchers in computational algebra including Derek Holt, William Unger, Allan Steel, and others. These collaborations have resulted in numerous influential publications that have shaped the field of computational group theory.

• Number Theory
• Cryptography
• Finite Fields
• +4 more

Professor Igor Shparlinski is a faculty member at the University of New South Wales (UNSW) within the School of Mathematics & Statistics, holding the rank of Professor with an active research profile as evidenced by publications dated 2025. His work bridges pure number theory and cryptographic applications, maintaining international collaborations with institutions like the University of Sydney and Max Planck Institute. Research interests include: Analytic number theory (exponential/character sums) Cryptographic security (Diffie-Hellman, RSA, and pseudorandom generators) Finite field arithmetic and polynomial dynamics Arithmetic combinatorics and additive number theory Distribution of primes/smooth numbers modulo p Elliptic curve structures over finite fields His publications consistently address foundational problems with computational implications, particularly focusing on sum bounds and modular arithmetic. Recent trends (2023-2025) show intensified work on multilinear character sums, matrix statistics over finite fields, and dynamical system orbits. Key journals include Journal of Number Theory and Finite Fields and their Applications , with frequent co-authorship on exponential sum bounds and cryptographic vulnerabilities. Scientific awards: No awards, prizes, or fellowships are documented in the provided text. Advising and grants: No student listings or grant information appears in the source material. Research output suggests sustained funding but lacks explicit details.

• Group Theory
• Finite Groups
• Algebra
• +6 more

Ramon Esteban Romero is a Professor in the Department of Mathematics at the Faculty of Mathematics, Universitat de València. His research lies in algebra, particularly group theory and its connections with braces and the Yang-Baxter equation. PhD: Universitat de València, 1997, Thesis: P-grupos finitos , Advisor: Dr. Antonio Vera López His research focuses on finite groups, permutability, solubility, and the algebraic structures known as skew braces. He is a key member of the PERMUT research group, which investigates structural properties of groups, semigroups, and braces with applications. His work bridges pure algebra and theoretical computer science, especially in the context of formal languages and automata. His recent publications reveal a strong trend toward the study of skew left braces and their role in solving the Yang-Baxter equation, with emphasis on classification, enumeration, and structural theorems like Jordan-Hölder analogs. He frequently collaborates with Adolfo Ballester-Bolinches, Vicent Pérez-Calabuig, and others, producing high-impact results in journals such as Journal of Algebra and International Journal of Group Theory . Ramon Esteban Romero has not been listed as receiving any major scientific awards in the provided text. He actively advises and collaborates with researchers and students, contributing to numerous joint publications. His work is supported by sustained research activity, with no indication of grants explicitly mentioned. He maintains a strong publication record and digital presence via his homepage and academic profiles. He is affiliated with the PERMUT research group, which explores arithmetical and structural properties of algebraic systems, with applications in combinatorics and theoretical physics.

Morwen ThistlethwaiteView profile

Professor

• Algebra
• Number Theory
• Discrete Subgroups of Lie Groups
• +3 more

Morwen Thistlethwaite is a Professor in the Department of Mathematics at the University of Tennessee, Knoxville. He holds a Ph.D. from the University of Manchester (England). His research focuses on Algebra and Number Theory, Discrete Subgroups of Lie Groups, and Computational Algebra, with notable contributions to knot theory and geometric topology. His work explores complex hyperbolic structures, Zariski dense surface groups, and computational methods for classifying knots. Key projects include the development of Knotscape software for knot enumeration and analysis of hyperbolic manifolds. Recent research has addressed topics like Hitchin components for triangle groups and deformations of Bianchi groups. Thistlethwaite’s publications span knot invariants, geometric topology, and representation theory, with a focus on bridging algebraic and computational approaches to geometric problems. His research often intersects with computational algebra tools and visualization techniques.

• Homotopy Theory
• Algebraic Geometry
• Combinatorics
• +3 more

Kyle Ormsby is an Associate Professor of Mathematics and Department Chair at Reed College. His research focuses on homotopy theory, algebraic geometry, and combinatorics, with particular interests in operads, equivariant homotopy, and geometric data analysis. He teaches courses like Math 111 (Calculus), Math 201 (Linear Algebra), and Math 411 (Advanced Analysis). His work bridges abstract algebraic structures and combinatorial methods, often involving collaborations with students and researchers in homotopical combinatorics. Ormsby's research explores topics such as transfer systems, N∞ operads, and motivic homotopy theory, with applications to algebraic K-theory and geometric data analysis in neuroimaging. He has organized conferences like the 2024 Homotopical Combinatorics MRC and co-founded the Project Project lab for visualizing mathematical concepts. His publications span journals like Glasgow Mathematical Journal and Homology, Homotopy and Applications , with a focus on combinatorial and categorical approaches to homotopy theory. Ormsby mentors undergraduate research, resulting in student-authored papers such as Equivariant Linear Isometries Operads and Injectivity and Surjectivity of the Dress Map . His work emphasizes interdisciplinary connections, blending pure mathematics with computational tools and visualization.

Alice DevillersView profile

Associate Professor

• Group Theory
• Graph Theory
• Combinatorics
• +4 more

Alice Devillers is an Associate Professor (part-time) in the Department of Mathematics and Statistics at the University of Western Australia (UWA), within the School of Physics, Maths and Computing. She holds a doctorate in science from the Université Libre de Bruxelles (2002) and has held postdoctoral positions at Michigan State University and the Fonds National de la Recherche Scientifique (FNRS) in Belgium. Her research focuses on group theory, graph theory, combinatorics, finite geometry, and Tits' buildings. She is a member of the Centre for the Mathematics of Symmetry and Computation. Dr. Devillers' academic journey includes roles as a Research Fellow with the FNRS (1998–2002), a Belgian American Education Foundation fellow (2002–2003), and a Research Associate at UWA (2008–2011) before becoming a Senior Lecturer in 2011 and Associate Professor in 2022. She has been actively involved in mathematics outreach, particularly with the Western Australian Junior Olympiad (WAJO) and national senior competitions. Her research explores symmetry in combinatorial structures, including automorphism groups of designs and graphs, with a focus on imprimitive actions and transitivity properties. She collaborates internationally, contributing to algebraic combinatorics and finite geometries. She has secured grants, including an ARC project on exceptionally symmetric combinatorial designs (2020–2024) and another on permutation groups and graph symmetry (2013–2017). Teaching responsibilities include first-year mathematics units and a third-year geometry course. Her work balances research, education, and community engagement, reflecting her commitment to advancing mathematical understanding and accessibility.

Radmila SazdanovicView profile

Associate Professor

• Low-dimensional topology
• Algebraic topology
• Categorification
• +3 more

Radmila Sazdanovic is an Associate Professor in the Department of Mathematics at North Carolina State University (NC State), part of the College of Sciences. She holds a Ph.D. from George Washington University, where she worked under Jozef Przytycki. Her research focuses on low-dimensional topology, applied algebraic topology, categorification, and their interdisciplinary applications in areas like data science and biomedical engineering. She is affiliated with the Faculty Research Group on Topology, Geometry, and Mathematical Physics. Her expertise spans knot theory, homology theories (Khovanov, chromatic, magnitude), and topological data analysis (TDA). Notable projects include collaborations on vascular network analysis with pulmonary hypertension studies and development of tools like the TAaCGH Suite for cancer genomics. She advises students on interdisciplinary projects, such as topology and fluid dynamics in vascular networks, alongside Dr. Olufsen. Recent work explores data-driven knot theory, torsion in homology, and applications of TDA in biomedical contexts. Her research bridges pure mathematics with applied problems, emphasizing categorification and computational methods. She actively disseminates findings through conferences and publications, contributing to both theoretical and applied advancements in topology.

• Algebra
• Group Theory
• Brace Theory
• +3 more

Vicent Perez Calabuig is an Associate Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia. His academic career is centered on advanced algebraic structures with a focus on group theory and brace theory. His primary research interests include Algebra , Group Theory , Brace Theory , Yang-Baxter Equation , and Finite Groups . His work investigates structural properties of groups, semigroups, and braces through the PERMUT research group, which examines arithmetical and structural properties with applications to theoretical mathematics. Current research emphasizes nilpotent braces, subnormality criteria, and solutions to the Yang-Baxter equation. Analysis of his 15 most recent publications (2024-2025) reveals a concentrated focus on left braces and their variants, with significant contributions to understanding nilpotency classes, subnormality in finite groups, and connections to the Yang-Baxter equation. His work bridges abstract algebra with theoretical physics applications, particularly in quantum algebra and integrable systems. His doctoral research was completed at the University of Valencia in 2018 under the supervision of Dr. Adolfo Ballester-Bolinches, with a thesis titled A reduction theorem for the generalised rhodes' type ii conjecture .

Luke SchaefferView profile

Assistant Professor

• Quantum Computing
• Theoretical Computer Science
• Combinatorial Game Theory
• +4 more

Luke Schaeffer is an Assistant Professor at the University of Waterloo, affiliated with the Cheriton School of Computer Science and the Institute for Quantum Computing (IQC). His academic journey includes a BMath and MMath from Waterloo, a PhD from MIT under Scott Aaronson, and postdoctoral positions at Waterloo and UMD. His research bridges quantum computing and theoretical computer science, with focuses on quantum circuit complexity, classical simulation of quantum systems, and combinatorics on words. Notable projects include studying the Clifford group's structure, low-depth quantum vs. classical circuits, query complexity of regular languages, and fermion-to-qubit encodings. He also explores non-quantum areas like combinatorial game theory and cellular automata. His work on interactive quantum advantage protocols demonstrated separations between quantum and classical circuit models, including results against AC⁰[p] and NC¹ classes. He co-developed sample-optimal classical shadow algorithms for pure states and classified Clifford gates over qubits into 57 distinct classes. Education: BMath and MMath, University of Waterloo PhD in Computer Science, MIT (advisor: Scott Aaronson) Key Research Themes: Quantum advantage and circuit complexity Automata and combinatorics on words Classical simulation techniques for quantum systems Algorithmic foundations of quantum computing He advises students in the Cheriton School of Computer Science, emphasizing quantum computing and theoretical computer science. His contributions include foundational results in quantum-classical separations and decidability of word properties via first-order logic.

• Group Theory
• Finite Groups
• Character Theory
• +2 more

Maria Loukaki serves as an Associate Professor in the Department of Mathematics & Applied Mathematics at the University of Crete, Greece, maintaining an active office (Γ315) and contact line (+30-2810393741) in Heraklion, Crete. Her research centers on Group Theory and Character Theory , with specialized focus on finite group structures, subgroup classifications, and combinatorial algebra. Key interests include nilpotent injectors, Carter subgroups, character degrees, and transversal probabilities, reflecting deep engagement with algebraic combinatorics and finite solvable groups. Analysis of her 2022-2025 publications reveals intensifying work on probabilistic group structures—particularly common transversals in abelian groups—and refined counting techniques for p-group substructures. Her output demonstrates consistent theoretical innovation at the intersection of combinatorics and representation theory.