Find Academic Supervisors

• Probability
• Combinatorics
• Theoretical Computer Science
• +5 more

Erik Slivken is an Associate Professor of Mathematics at the University of North Carolina Wilmington . Previously, he held positions as a Krener Assistant Professor at UC Davis, a CNRS Postdoctoral Researcher at Laboratoire de Probabilités in Paris VII, and a Visiting Instructor at Dartmouth College. He earned his Ph.D. in Mathematics from the University of Washington in 2014 under Christopher Hoffman. His research focuses on the intersection of probability and combinatorics , with applications to theoretical computer science and statistical mechanics. Key areas include scaling limits of discrete random objects, discrete stochastic processes, bootstrap percolation, and random permutation patterns. He investigates the limiting behaviors of combinatorial systems, such as the statistical properties of large permutations and long-term dynamics of stochastic processes. Slivken has published extensively in top-tier journals like Random Structures and Algorithms , Probability Theory and Related Fields , and Electronic Journal of Probability . His work often explores fixed points in permutation structures, growth models on Hamming planes, and algorithmic complexity. He has presented invited talks at institutions including the University of Warwick, Dartmouth, and international conferences like the Vilnius Probability Conference. His research has been supported by collaborations with leading mathematicians such as Christopher Hoffman, Janko Gravner, and Jacopo Borga. He actively participates in organizing seminars and workshops, including the Davis-Warwick Probability Workshop and Bay Area Discrete Math Day.

José Fernando MendesView profile

Professor

• Complex Systems
• Statistical Physics
• Complex Networks
• +8 more

José Fernando Mendes is a full Professor in the Department of Physics at the University of Aveiro, Portugal. He is also the Director of the Institute i3N-Aveiro and President of the Complex Systems Society. He is a member of the External Faculty at the Complexity Science Hub (CSH), Vienna. His academic leadership includes serving as Vice-Rector for Research at the University of Aveiro from 2010 to 2018. University: University of Aveiro School: College of Sciences Department: Department of Physics Position: Full Professor Leadership: Director, Institute i3N-Aveiro; President, Complex Systems Society External Affiliation: External Faculty, Complexity Science Hub (CSH) He holds a Ph.D. in Physics from the University of Porto (1995) and obtained the 'Agregado' (habilitation) in 2000. He was a professor at the University of Porto before moving to the University of Aveiro in 2002. Ph.D. in Physics, University of Porto, 1995 Degree in Physics, University of Porto, 1987 'Agregado' (Habilitation), University of Porto, 2000 José Fernando Mendes specializes in complex systems and statistical physics , with a focus on the structure and dynamics of complex networks. His research spans phase transitions, percolation theory, network epidemiology, neuroscience, granular media, and self-organized criticality. He investigates systems such as the World Wide Web, biological networks, and social networks using theoretical and computational models. His work bridges physics, computer science, and biology, contributing to foundational understanding in network science. His recent publications reflect a consistent focus on network structure , phase transitions , and robustness in complex systems. Key themes include directed networks, bootstrap percolation, and critical phenomena in networked systems. His research often involves mathematical modeling, simulations, and spectral analysis of network topologies. These works contribute to both theoretical advances and practical applications in network resilience and dynamics. He has received several prestigious scientific awards and honors: Fellow, American Physical Society (2020) Fellow, Network Science Society (NetSci, 2019) Senior Scientific Award, Complex Systems Society (2020) Member, Academia Europaea Premio Gulbenkian Ciencia (2004) Juri IBM Prize Mendes has been actively involved in mentoring and research leadership. He has supervised multiple postdoctoral researchers through EU-funded projects such as SOCIALNETS and has led the Group of Complex Systems & Random Networks (GNET) at the University of Aveiro. He has secured research funding for interdisciplinary projects in biophysics, social networks, and statistical physics. His group has hosted international workshops and conferences, fostering collaboration in network science. He leads the GNET research group, which focuses on statistical physics of complex networks, and is director of the Institute i3N-Aveiro , a multidisciplinary research institute promoting nanotechnology and materials science. GNET has been central to organizing major events like CNET2004 and ECCS, and collaborates with institutions across Europe. The group investigates cellular networks, neural systems, and socio-technical systems, using advanced computational and theoretical tools.

Peter J. DukesView profile

Professor

• Combinatorics
• Algebra
• Graph Theory
• +3 more

Professor Peter J. Dukes holds a faculty position in the Department of Mathematics and Statistics at the University of Victoria. His research focuses on combinatorics, particularly applying algebraic and analytic methods to combinatorial problems. He has held positions including postdoctoral fellowships at Arizona State University and the University of Toronto. Dukes teaches advanced courses such as MATH 427 (Combinatorial Designs) and MATH 529 (Topics in Discrete Mathematics). His work spans graph theory, coding theory, and quasirandomness, with recent publications addressing graph decomposition, matrix balancing, and permutation patterns. He actively participates in academic conferences and organizes sessions on combinatorial design theory. His teaching philosophy emphasizes problem-solving and the appreciation of mathematical beauty, supported by resources like lecture notes for MATH 413 (applied algebra). Dukes also engages in outreach through activities like the UVic Math Competition and triangle decomposition games. Education: B.Sc. Mathematics, University of Victoria, 1997 M.Sc. Mathematics, University of Toronto, 1998 Ph.D. Mathematics, California Institute of Technology (Caltech), 2003 Research Interests: Combinatorics, algebraic methods in combinatorics, extremal graph theory, quasirandom structures, and applications to coding theory. His work often explores the intersection of discrete mathematics with algebraic techniques, such as permutation balancing and matrix decomposition problems.

Karen GundersonView profile

Associate Professor

• Graph theory
• Combinatorics
• Random graphs
• +10 more

Karen Gunderson is an Associate Professor in the Department of Mathematics at the University of Manitoba's Faculty of Science. Her research spans graph theory, combinatorics, random graphs, percolation, hypergraphs, and extremal combinatorics. Research Focus : Graph theory, combinatorics, random graphs, percolation, hypergraphs, extremal combinatorics Academic Role : Associate Professor, Acting Associate Head Graduate Contact : Karen.Gunderson@umanitoba.ca , karen.gunderson@umanitoba.ca Her work includes bootstrap percolation , random geometric graphs , and extremal hypergraph problems , with applications in network modeling and probabilistic combinatorics. Recent publications focus on adversarial burning densities, Erdos-Ko-Rado robustness, and Turán numbers in switching contexts. Academic Leadership : Co-organizer of the University of Manitoba Combinatorics Seminar and key organizer for the 2023 CanaDAM conference and Movement & Symmetry in Graphs retreat.

• Stochastic Processes
• Martingale Representation Properties
• Markov Jump Processes
• +4 more

Kais Hamza is a Professor and Deputy Head of School at the School of Mathematics, Monash University , with a focus on stochastic processes and their applications. His research bridges theoretical probability (martingales, Markov jump processes) and practical domains like financial market modeling, population dynamics, and biomedical systems. Stochastic Processes : General theory, martingale representation, and random walk analysis Mathematical Finance : Financial derivatives, volatility models, and scenario generators Biomedical Applications : Vocal cord dysfunction diagnostics, COPD exacerbation biomarkers, and respiratory imaging Recent work includes books and articles on stochastic calculus, CT imaging for laryngeal disorders, and metabolic biomarkers in COPD. No specific student advisement details are provided. Key collaborations span institutions like the Australian Research Council and Data61 , with projects on topics like Self-Interacting Random Walks (2023–2026).

• Probability Theory
• Mathematics
• Lattices
• +6 more

Professor Alexander E Holroyd is a faculty member at the School of Mathematics, University of Bristol. His research spans probability theory, combinatorics, and lattice dynamics, with a focus on spatial processes, symmetrization, and stochastic modeling. Current affiliations: School of Mathematics, University of Bristol Academic ranks: Professor His research explores probabilistic phenomena in lattice structures, including stable matchings, shift-invariant models, and finite-type processes. Recent work investigates bootstrap percolation, equivariant colorings, and cyclic birth-and-death systems. Key trends in his publications include spatial probability models, combinatorial optimization, and dynamic lattice systems. Notable contributions address percolation thresholds, symmetrization techniques, and cyclic process dynamics. Scientific awards: Paul R. Halmos-Lester R. Ford Award (2018), Reza Sarhangi Outstanding Paper Prize (2022)

Jesper Lykke JacobsenView profile

Professor

• Statistical Physics
• Disordered Systems
• Conformal Field Theory
• +6 more

Jesper Lykke Jacobsen is a Professor of Theoretical Physics at the Laboratoire de Physique Théorique at École Normale Supérieure in Paris, with additional affiliation at Université Pierre et Marie Curie (now part of Sorbonne University). He is also a member of the prestigious Institut Universitaire de France, which recognizes outstanding researchers in France. His research focuses on statistical physics, particularly disordered systems, conformal field theory, and exactly solvable models. His work spans critical phenomena, phase transitions, loop models, and the Potts model, with significant contributions to our understanding of two-dimensional systems. He has made important advances in understanding the critical behavior of the Potts model with random couplings and the statistical properties of compact polymers. Analysis of his recent publications reveals a strong focus on critical loop models, conformal field theory applications, and exactly solvable systems. His work often bridges mathematical physics with condensed matter theory, exploring the deep connections between symmetry groups, critical exponents, and universal behavior in statistical systems. Many of his papers involve collaborations with leading researchers in the field, demonstrating his central role in the theoretical physics community. Institut Universitaire de France membership (prestigious research distinction) Professor Jacobsen has advised numerous PhD students, including Romain (thesis defense 2013) and Etienne (thesis defense 2019), as evidenced by group photos from their dissertation defenses. He has organized and participated in significant research conferences and workshops, such as those at Les Houches on exact methods in low-dimensional statistical physics and conformal field theory applications. His research has been supported by various academic institutions and likely research grants, though specific grant details aren't provided in the source material. He leads or participates in research teams focused on statistical physics, as shown by his regular seminars and the group photos featuring multiple researchers working in related areas. His informal statistical physics seminar series provides a venue for ongoing research discussion and collaboration.