جستجوی استاد راهنمای دانشگاهی

Rolando De Santiagoمشاهده پروفایل

دانشیار مدعو

• Operator Algebras
• von Neumann Algebras
• Functional Analysis
• +۳ مورد دیگر

Rolando De Santiago is an Adjunct Associate Professor of Mathematics at Purdue University, affiliated with the Department of Mathematics in the College of Science. His research focuses on operator algebras, von Neumann algebras, functional analysis, and group theory. He holds a PhD from the University of Iowa (2017) and has held postdoctoral positions at UCLA, including the UC Presidential Postdoctoral Fellowship (2018–2020). His work emphasizes classification of group von Neumann algebras via deformation/rigidity theory and explores structural properties like proper proximality, strong 1-boundedness, and graph products. He co-leads the Operator Algebras Seminar at Purdue and actively mentors students in quantum information theory and noncommutative geometry. Notable achievements include the Spira Award for Teaching and Mentoring (2023) and contributions to papers on quantum chromatic numbers, spectral gap characterizations, and wreath-like products. His research bridges operator algebras with geometric group theory, topology, and quantum computing applications. Education: PhD in Mathematics, University of Iowa (2017) MS in Mathematics, Cal Poly Pomona (2012) BS in Mathematics, Cal Poly Pomona (2012) Awards & Grants: UC Presidential Postdoctoral Fellowship (2018–2020) NSF-AGEP Supplemental Grant (2015–2016) GAANN Fellowship (2013–2015) Spira Award (2023) Research Themes: Von Neumann algebras, quantum graph coloring, group rigidity, operator system structures, and interdisciplinary applications in quantum information theory. Recent work includes quantum chromatic number bounds and spectral properties of noncommutative Poisson boundaries.

• Quantum algorithms
• Quantum computational complexity
• Classical information theory
• +۳ مورد دیگر

Penghui Yao is a Professor in the Department of Computer Science and Technology at Nanjing University, where he is a member of the CS Theory group. His academic career spans prestigious institutions including the Centre for Quantum Technologies at National University of Singapore, Centrum Wiskunde Informatica (CWI), Institute for Quantum Computing (IQC) at University of Waterloo, and Joint Center for Quantum Information and Computer Science (QuICS) at University of Maryland. Education: BSc in Mathematics from East China Normal University PhD from Centre for Quantum Technologies, National University of Singapore (supervised by Rahul Jain and Miklos Santha) Professor Yao's research focuses on quantum computing and theoretical computer science, with particular expertise in quantum algorithms and computational complexity. His work bridges classical and quantum information theory, with significant contributions to analysis of Boolean functions and their quantum applications. He has developed novel approaches to communication complexity problems in both classical and quantum settings, advancing our understanding of the fundamental limits of computation. His recent publications reveal a strong trend toward practical quantum algorithms with applications in distributed systems, quantum simulation, and quantum cryptography. The breadth of his work spans from theoretical foundations of quantum complexity classes to experimental implementations of quantum processes, demonstrating both depth in theoretical understanding and relevance to practical quantum computing challenges. Professor Yao actively mentors the next generation of quantum computing researchers, supervising multiple PhD and Master's students at Nanjing University while maintaining collaborations with international research groups. His service to the community includes program committee roles for major quantum computing conferences including QIP and TQC.

David Bevanمشاهده پروفایل

مدرس

• Enumerative Combinatorics
• Asymptotic Combinatorics
• Probabilistic Combinatorics
• +۷ مورد دیگر

David Bevan is a Lecturer in the Department of Mathematics and Statistics at the University of Strathclyde, Faculty of Science. His research is centered on combinatorics, particularly in the areas of enumerative, asymptotic, probabilistic, and extremal combinatorics, with a focus on permutations and permutation classes. His research interests include: Permutation patterns and avoidance Limit shapes and permutons Monotone grid classes and structural combinatorics Random integer compositions and probabilistic models Graph theory and network structures Analytic combinatorics and asymptotic enumeration The trends in his recent publications (2025–2017) reflect a deep and consistent focus on the structural and asymptotic behavior of discrete combinatorial objects, especially permutations. His work often combines probabilistic reasoning, analytic techniques, and extremal analysis to derive enumeration results and characterise limiting behaviors. He frequently collaborates with researchers such as Dan Threlfall, Robert Brignall, and Sergey Kitaev. David Bevan has served in key professional roles, including: Guest Editor, Discrete Mathematics and Theoretical Computer Science (2023) Guest Editor, Enumerative Combinatorics and Applications (2021) Organiser, Permutation Patterns 2021 Virtual Workshop Organiser, Scottish Combinatorics Meeting 2023 Peer Reviewer, Combinatorial Theory (2023) He is the Principal Investigator on the Maths DTP 2020 project at the University of Strathclyde (2020–2025), focusing on combinatorial research with PhD student Daniel Threlfall. He has delivered numerous invited talks at international workshops and conferences, including at Oberwolfach, Dagstuhl, and the Permutation Patterns series. David Bevan leads research within the Strathclyde Combinatorics Group and maintains an active research blog. He teaches courses in graph theory, networks in finance, logic, computation, and computer systems, reflecting his interdisciplinary expertise bridging mathematics and computer science.

Marek Balcerzakمشاهده پروفایل

استاد

• Real Analysis
• Measure Theory
• Topology
• +۵ مورد دیگر

Prof. Marek Balcerzak is a Research and Teaching Professor at the Department of Applications of Modern Mathematical Analysis , Lodz University of Technology. His work bridges mathematical analysis, topology, and applied dynamical systems. Research Interests: Real analysis, measure theory, Baire category, ideal convergence, Cantor sets, and applications to dynamical systems and control theory. Publication Trends: Recent articles focus on Baire category, ideal convergence, and Lyapunov exponent applications in chaos theory. His work spans pure mathematics (e.g., equi-Lebesgue families) and engineering (e.g., neural network control systems). Advising: Supervised 13 PhD students, including Piotr Nowakowski (Cantor sets), Szymon Głąb (descriptive set theory), and Paolo Leonetti (ideal convergence). Authored four textbooks, including Foundations of Ergodic Theory (2022). Scientific Contributions: Developed density operators, solved problems in Marczewski-Burstin representations, and extended Birkhoff integral convergence theorems. His interdisciplinary work connects mathematical analysis with control systems and nonlinear dynamics.

Heiko Dietrichمشاهده پروفایل

استاد

• Computational Group Theory
• Algebra
• Group Theory
• +۳ مورد دیگر

Heiko Dietrich is a Professor in the School of Mathematics at Monash University and serves as the Associate Dean Graduate Education in the Faculty of Science. His roles include overseeing graduate education, research leadership, and editorial board memberships. He holds a doctoral degree from the University of Braunschweig (2009) and has held positions at institutions including the University of Trento and University of Auckland. Research Interests His research focuses on computational group theory , computational algebra , finite groups , and Lie algebras . He applies computational methods to problems in algebra and has contributed to areas such as Hadamard matrices and classification of quantum states. Recent Research Trends Recent work includes studies on maximal subgroups of the Monster group, coclass theory, and algorithmic approaches to group isomorphism. His publications span theoretical advances and applications in quantum information and combinatorics. Awards: Australian Research Council Discovery Early Career Researcher Award (2013) Cheryl E. Praeger Visiting Research Fellowship (2022) 2019 Victorian Tall Poppy Award Advising & Grants He has supervised over 20 students, including HDR candidates and Master’s researchers. Notable projects include investigations into finite p-groups, computational group theory, and combinatorial identities. He led research initiatives funded by ARC and international collaborations, such as the Computing with Lie groups and algebras project (2019–2023). Labs & Affiliations Editorial roles include Associate Editorships at Mathematische Nachrichten , Journal of Computational Algebra , and Beiträge zur Algebra und Geometrie . He contributes to STEM education through CSIRO’s STEM Professionals in Schools program.

Neal Madrasمشاهده پروفایل

استاد

• Probability Theory
• Discrete Mathematics
• Mathematical Modeling in the Sciences
• +۵ مورد دیگر

Neal Madras is a Full Professor in the Department of Mathematics and Statistics at York University's Faculty of Science. His research focuses on probability theory, discrete mathematics, and mathematical modeling in the sciences. He explores applications in statistical mechanics, theoretical computer science, communications networks, and biological systems. Notable interests include self-avoiding walks, polymer behavior modeling, and disease progression mechanisms. Madras has contributed to interdisciplinary studies, such as HIV dynamics and mosquito population modeling under climate influences. He is also actively involved in mathematics competitions like the Canadian Mathematical Olympiad. His work bridges theoretical rigor and practical applications, with a focus on stochastic processes, combinatorial problems, and computational methods. Publications span topics from graph theory and knot invariants to epidemic control strategies and polymer adsorption. Madras maintains an active research program, engaging with both foundational mathematical questions and real-world problem-solving.

• Algebra
• Group Theory
• Brace Theory
• +۳ مورد دیگر

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 .

• Finite Geometry
• Group Theory
• Algebraic Combinatorics
• +۳ مورد دیگر

John Bamberg is an Associate Professor in the Department of Mathematics and Statistics at the University of Western Australia (UWA). His research focuses on finite geometry, group theory, and algebraic combinatorics. He has held significant roles including Graduate Research Coordinator, Research Integrity Advisor, and editorial positions for journals like Combinatorial Theory and Advances in Geometry . Bamberg completed his PhD at UWA under Cheryl Praeger and Tim Penttila, followed by postdoctoral positions at UWA and Ghent University. He was an Australian Research Council Future Fellow from 2012–2016. His research spans permutation groups, finite geometries, and combinatorial configurations. Notable contributions include studies on polar spaces, symplectic groups, and geometric configurations in Johnson graphs. His work frequently intersects group actions, automorphism groups, and incidence structures. Bamberg has published over 75 peer-reviewed articles, with recent focus on topics like tactical decompositions, 2-closed groups, and Ramsey numbers. He has secured six major grants, including ARC-funded projects on permutation groups and Cayley graphs. His awards include the Gavin Brown Prize (2020), Hall Medal (2017), and Kirkman Medal (2006). Bamberg actively engages in academic leadership, serving as Vice-President of the Combinatorial Mathematics Society of Australasia and managing editor for multiple journals. His research also emphasizes applications of algebraic methods to geometric problems and combinatorial designs.

Mark Grantمشاهده پروفایل

دانشگاهی

• Algebraic Topology
• Differential Topology
• Topological Complexity
• +۷ مورد دیگر

Mark Grant is a Reader in the Institute of Mathematics at the University of Aberdeen, part of the School of Natural and Computing Sciences. He holds an MA from the University of Edinburgh and a PhD from the University of Manchester. He joined Aberdeen as a Lecturer in 2014, was promoted to Senior Lecturer in 2018, and to Reader in 2023. Prior to this, he held academic positions at the Universities of Edinburgh, Nottingham, Newcastle-upon-Tyne, and Durham University. His research lies at the intersection of algebraic and differential topology, with applications to motion planning and robotics. Key areas include topological complexity, equivariant topology, bordism, and immersions. He has published extensively in leading journals such as Algebraic & Geometric Topology , Proceedings of the American Mathematical Society , and Topology and its Applications . The recent publications reflect a strong trend in applying topological invariants—particularly topological complexity and its equivariant variants—to problems in robotics and geometric configuration. Themes include the use of cohomological methods, Hopf invariants, and categorical constructions to derive bounds and classifications in motion planning. His work often involves collaboration with leading researchers in topology and geometry. He serves on the editorial boards of the Proceedings of the Royal Society of Edinburgh Section A: Mathematics and Topological Methods in Nonlinear Analysis . Mark Grant has advised PhD students including Baylee Schutte and David Recio-Mitter. There is no mention of research grants in the provided texts, but his sustained publication output and editorial roles suggest active involvement in research funding and supervision. He maintains a strong online presence through Google Scholar and MathOverflow. He is affiliated with the Institute of Mathematics at Aberdeen and contributes to its seminar series and academic life. His work bridges pure mathematics and applied domains, particularly through topological robotics.

• Group Theory
• Finite Groups
• Character Theory
• +۲ مورد دیگر

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.

Bridget Tennerمشاهده پروفایل

استاد

• Combinatorics
• Algebraic combinatorics
• Enumerative combinatorics
• +۵ مورد دیگر

Bridget Tenner is a Professor of Mathematics in the Department of Mathematical Sciences at DePaul University's College of Science and Health. She joined the faculty in 2007 after earning her PhD in Mathematics from MIT in 2006 under Richard Stanley, with prior degrees (AB and AM) from Harvard University in 2002. Dr. Tenner's research focuses on combinatorics, particularly algebraic, enumerative, and topological aspects of permutation patterns, Coxeter groups, and Bruhat order. Her work bridges pure mathematics with applications in voting theory, electoral geography, and conference organization for equity. She has developed significant connections between reduced decompositions, pattern avoidance, and geometric structures. Analysis of her recent publications reveals a strong emphasis on permutation patterns, particularly in Stirling permutations, boolean permutations, and signed permutations. Her work frequently connects combinatorial structures with algebraic properties, exploring relationships between pattern avoidance, reduced words, and geometric interpretations. She has made substantial contributions to understanding the combinatorial properties of Coxeter groups and their applications to voting theory and electoral districting. Dr. Tenner has been recognized as a Fellow of the American Mathematical Society, a significant honor in the mathematical community. Her collaborative work spans numerous institutions and demonstrates strong mentorship through co-authorship with early-career mathematicians. She maintains an active research program with consistent high-impact publications across mathematics journals and interdisciplinary venues including Political Geography. Dr. Tenner also contributes to the mathematical community through initiatives like the Database of Permutation Pattern Avoidance and advocacy for equitable conference practices.

David Andersonمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Combinatorics
• Representation Theory
• +۵ مورد دیگر

David Anderson is an Associate Professor in the Department of Mathematics at The Ohio State University (OSU), affiliated with the College of Arts and Sciences. His research focuses on algebraic geometry and combinatorics, with a particular emphasis on equivariant cohomology, Schubert calculus, degeneracy loci, and K-theory. He earned his PhD from the University of Michigan (2009) and a B.A. from Columbia University (2002). He has held postdoctoral positions at IMPA (Brazil), Institut de Mathématiques de Jussieu (France), and the University of Washington. His grants include an NSF CAREER Award ($400,000, 2020–2025) and a Simons-CRM Professorship (2023–2024). He authored Equivariant Cohomology in Algebraic Geometry (Cambridge, 2023) and edited Facets of Algebraic Geometry (2022). Anderson advises PhD students in algebraic geometry and combinatorics, including Chen Chen (expected 2023) and Ian Cavey (2023). He teaches advanced courses like Algebraic Geometry and Equivariant Cohomology, and organizes workshops such as the Midwest Workshop on Schubert Calculus. His research spans topics like toric degenerations, Okounkov bodies, and geometric Satake correspondence.

Omar Kihelمشاهده پروفایل

استاد

• Algebraic Number Theory
• Elliptic Curves
• Diophantine Equations
• +۴ مورد دیگر

Omar Kihel is a Professor of Mathematics at Brock University, affiliated with the Department of Mathematics and Statistics within the Faculty of Mathematics and Statistics. His research focuses on Algebraic Number Theory, Elliptic Curves, Diophantine Equations, Permutation Polynomials over Finite Fields, Galois Theory, and Cryptography. He has been invited to speak at multiple international conferences, including the 25th Annual Meeting in Mathematics (AMM 2021) in Bangkok and the Mathematical Congress of the Americas 2021. He holds the title of Fellow of the Papua New Guinea Mathematical Society (since 2013) and received a teaching excellence award from Brock University in 2017. His research trends emphasize Diophantine equations, permutation polynomials, and applications of algebraic structures in cryptography. Recent publications explore topics such as integer solutions to equations, elliptic curve properties, and polynomial theory. His work frequently intersects with number theory, algebraic geometry, and combinatorics. Scientific Awards: Teaching award in the faculty of Mathematics and Statistics (2017) Fellow of the Papua New Guinea Mathematical Society (2013–present) His advising and grants are not explicitly detailed in the provided text. His research is primarily theoretical, contributing to foundational areas of mathematics with potential applications in cryptography and computational algebra.

• Graph Theory
• Combinatorics
• Discrete Mathematics
• +۳ مورد دیگر

Nicholas Korpelainen is a Senior Lecturer in Mathematics at the University of Derby's College of Science and Engineering. His research focuses on graph theory, combinatorics, and discrete mathematics, with particular emphasis on clique-width, permutation graphs, and structural graph analysis. His work explores algorithmic implications of graph structures, including partitioning problems, enumeration of graph classes, and well-quasi-ordering principles. Recent contributions address boundary classes for path partitioning, minimal graph classes with unbounded clique-width, and linear clique-width in hereditary cograph families. No scientific awards or grants are listed in the provided text. His research outputs total 190 views and 72 downloads, with active engagement in graph theory research.

Sarah Hartمشاهده پروفایل

استاد

• Mathematics
• Literature
• Music
• +۳ مورد دیگر

Sarah Hart is a Professor Emerita of Mathematics at Birkbeck College, University of London, and held the Gresham Professorship of Geometry (2020–2024), the first woman to do so since its establishment in 1597. She specializes in group theory, the history of mathematics, and interdisciplinary connections between mathematics and culture. Her research explores topics like Coxeter groups, sum-free sets, and mathematical influences in literature and music. Hart is renowned for her public outreach efforts, including popular lectures at Gresham College and her book Once Upon a Prime , examining links between mathematics and literature. She has also served as President of the British Society for the History of Mathematics. Education: MA (Mathematics), Balliol College, Oxford, 1996 MSc (Mathematics), University of Manchester, 1997 PhD (Mathematics), UMIST, 2000 Research Interests: Mathematics and culture, group theory, history of mathematics, Coxeter groups, commuting graphs, and mathematical influences in literature and music. Awards/Honors: Fellow of the Higher Education Academy (Advance HE), 2008 Media Engagement: Regular public speaker at literary festivals, radio shows (e.g., BBC Radio 4), and podcasts (e.g., Freakonomics). Notable lectures include 'The Mathematics of Musical Composition' and 'Where Do Mathematical Symbols Come From?' Grants/Teams: Member of the London Mathematical Society, EPSRC peer review college, and former library committee member of the LMS. Labs/Teams: Collaborations with researchers like Chimere Anabanti, Amal Sbeiti Clarke, and others on group theory and algebraic structures.