Find Academic Supervisors

• Applied Mathematics
• Differential Geometry
• Complex and Paracomplex Structures
• +1 more

Rafael Santamaria Sanchez is Full Professor of Mathematics at the University of León, Spain, where he is affiliated with the Department of Mathematics within the School of Industrial, Computer and Aerospace Engineering. He is an active member of the GIEF research group (Financial Economy). Education PhD in Mathematics, University of Cantabria (2002) Thesis: Differential invariants of almost-biparacomplex structures and the equivalence problem Supervisors: Dr. Fernando Etayo Gordejuela, Dr. Jaime Muñoz Masqué Research Interests Professor Santamaria Sanchez’s work lies at the intersection of pure and applied mathematics, with a strong emphasis on differential geometry and its applications. His early research focused on the structure and classification of almost-biparacomplex manifolds, studying differential invariants that solve equivalence problems in this setting. More recently he has expanded his investigations toward mathematical finance, participating in the GIEF (Financial Economy) group, where geometric and analytical techniques are applied to financial modeling and risk assessment. Laboratory & Teams He collaborates within the GIEF research group at the University of León, a multidisciplinary team that blends mathematical theory with practical problems in finance and economics.

• Functional Analysis
• Operator Theory
• Harmonic Analysis
• +7 more

Antonio Galbis Verdu is a Full Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia, Spain. His research is centered on functional analysis, operator theory, and harmonic analysis, with a particular focus on ultradifferentiable functions, time-frequency analysis, and convolution operators. PhD, Universitat de València, 1988 His research interests include functional analysis, operator theory, harmonic analysis on Euclidean spaces, partial differential equations, and integral transforms. He works extensively with weighted spaces of holomorphic functions, Gelfand-Shilov spaces, and pseudodifferential operators. His work often bridges abstract functional analytic frameworks with concrete problems in analysis and mathematical physics. The recent articles highlight a strong and consistent research trajectory in functional and harmonic analysis, particularly in time-frequency localization, Gabor systems, and operator theory on function spaces such as Fock and modulation spaces. The publications demonstrate deep engagement with ultradifferentiable function classes, convolution and Toeplitz operators, and foundational aspects of frame theory in non-Banach settings. The keywords span functional analysis, operator theory, and harmonic analysis, with subfields including time-frequency analysis, pseudodifferential operators, and spaces of smooth and holomorphic functions. There are no scientific awards explicitly mentioned in the provided text. Antonio Galbis has collaborated extensively with researchers such as José Bonet, Carmen Fernández, Joachim Toft, and David Jornet. He has been involved in numerous joint publications, indicating a strong advisory and collaborative role in the mathematical community. While specific grant details are not provided, his sustained publication record in high-impact journals suggests active funding support. He is a member of the research group ESALDI (Spaces and Algebras of Differentiable Functions), which focuses on functional analytic structures and their applications. He is a key member of the ESALDI research group at the University of Valencia, which investigates spaces and algebras of differentiable functions, with applications to partial differential equations and operator theory. This group fosters collaboration on advanced topics in analysis and supports the training of early-career researchers.

Marcus MichelenView profile

Assistant Professor

• Probability
• Combinatorics
• Statistical Physics
• +7 more

Marcus Michelen is an Assistant Professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois, Chicago (UIC), within the College of Liberal Arts and Sciences. He earned his Ph.D. in Mathematics from the University of Pennsylvania in 2019 under Robin Pemantle and completed his undergraduate studies at The Cooper Union with a B.S.E. in General Engineering and a minor in Mathematics. He began at UIC as a postdoc in 2019 and transitioned to Assistant Professor in 2021 through the Bridge-to-Faculty program. His research lies at the intersection of probability, combinatorics, statistical physics, and theoretical computer science , with recent work focusing on random matrices, random polynomials, sphere packing, and Gibbs point processes. He frequently uses complex- and Fourier-analytic techniques in discrete settings. His research is supported by an NSF CAREER grant (DMS-2336788) and other NSF awards. His most recent publications explore topics such as lower bounds in Ramsey theory, root separation in random polynomials, gossip propagation via percolation, and limits in sphere packing. These works appear in top journals like the Journal of the American Mathematical Society , Probability Theory and Related Fields , and Combinatorics, Probability and Computing , reflecting a strong trend toward probabilistic methods in combinatorial and geometric problems. NSF CAREER Grant DMS-2336788 Penn Prize for Excellence in Teaching by Graduate Students (2016) Herbert S. Wilf Memorial Award University of Pennsylvania Math Department Good Teaching Awards (2015, 2016) Marcus advises one master’s student and three Ph.D. students and has mentored undergraduate research in mathematics and origami. He has taught courses ranging from Calculus III to graduate-level combinatorics and probability. He was featured in the 2024 Lathisms Calendar and has contributed to public understanding of mathematics through Quanta Magazine and La Recherche .

Belgin OzerView profile

Professor

• Algebra
• Number Theory
• Numerical Semigroups
• +6 more

Professor Belgin Ozer is affiliated with Gaziantep University , where she serves in the Faculty of Arts and Sciences, Department of Mathematics . Her academic career spans roles from Research Assistant (2001-2011) to Assistant Professor (2011-2022), Associate Professor (2022-2024), and now Professor (2024-present). She holds a PhD in Algebra and Number Theory from Çukurova University (2010) and an MSc in Mathematics from Gaziantep University (2005). PhD: Çukurova University (2010) MSc: Gaziantep University (2005) BSc: Middle East Technical University (1998) Her research focuses on Numerical Semigroups , RF-Matrices , Gröbner Basis , and Almost Symmetric Semigroups . She has contributed to nearly 15 peer-reviewed journal articles and 21 conference presentations, with recent work on Arf numerical semigroups and homology of matrix semigroups. Key trends in her publications include studying Nearly Gorenstein semigroups , Quotient semigroups , and computational methods in semigroup theory. Her article keywords span Algebra , Number Theory , and Computer Algebra . Scientific Awards : YÖK SCHOLARSHIP (2010) Research Students Advised : 15 theses supervised, including topics on RF-relations, Arf semigroups, and ethics in mathematics. She participated in international collaborations at St Andrews University , Craiova University , and Jordan Private State University , focusing on semigroup theory and Gröbner basis applications.

Yann StrozeckiView profile

Associate Professor

• Enumeration Complexity
• Algorithmic Game Theory
• Simple Stochastic Games
• +7 more

Yann Strozecki is an Associate Professor (Maître de Conférences HDR) at the University of Versailles Saint-Quentin, where he is based in the DAVID Laboratory and leads the ALMOST research team focused on algorithms and stochastic models. He is currently on a part-time assignment at LIGM, Gustave Eiffel University, and has previously held positions at LIP6 (RO team), Paris-Sud University (ALGO team), and completed a postdoctoral fellowship at the University of Toronto's Theory Group. He earned his PhD from Paris Diderot (Paris 7) under Arnaud Durand. His research lies at the intersection of theoretical computer science and discrete mathematics, with core interests in: Enumeration complexity, especially delay and space constraints Algorithmic game theory, particularly simple stochastic games (SSGs) Graph and matroid algorithms Cheminformatics and molecular structure generation Sparse polynomials and algebraic complexity Analysis of his recent publications reveals a strong trend in developing efficient enumeration algorithms with provable delay and space bounds, advancing the theoretical foundations of output-sensitive computation. He also contributes to practical algorithms for Cloud RAN scheduling and cheminformatics, often combining theoretical rigor with real-world applications. His work on geometric amortization and strategy improvement in SSGs demonstrates innovation in algorithm design. Notable scientific contributions include: Generic strategy improvement methods for SSGs Polynomial-delay enumeration via closure operations Efficient deterministic scheduling for low-latency networks Tools for molecular cage generation in chemistry Yann Strozecki actively supervises PhD and master’s students, including Noé Demange, Maël Guiraud, and Xavier Badin de Montjoye. He co-organizes the ALMOST team seminar and has advised numerous interns in algorithmics and game theory. His research has been supported through collaborations with Nokia Bell Labs (CIFRE thesis) and interdisciplinary projects in cheminformatics and networking.

Alan BrownView profile

Associate Professor

• Structural Biology
• Cilia Research
• Cryo-Electron Microscopy
• +5 more

Alan Brown is an Associate Professor of Biological Chemistry and Molecular Pharmacology at Harvard Medical School. His laboratory focuses on understanding the structure and function of cilia (also known as eukaryotic flagella), which are finger-like organelles that project from the surface of almost all eukaryotic cells. His research has significant implications for understanding and potentially treating ciliopathies, which are genetic disorders that can affect both motile and immotile cilia. Dr. Brown's research interests include: Structural analysis of cilia using high-resolution electron cryomicroscopy (cryo-EM) and electron cryotomography (cryo-ET) Understanding the structure and function of the axoneme, the core component of cilia Investigating intraflagellar transport mechanisms, particularly the role of the BBSome complex Developing new methods to improve cryo-EM structure determination and interpretation Studying the molecular basis of ciliopathies and related genetic disorders His laboratory has made significant contributions to the field, including determining structures and building detailed atomic models of ciliary doublet microtubules, radial spoke complexes, and axonemal dyneins. His research spans structural biology, cell biology, and disease mechanisms, with publications in top journals including Nature, Science, and Cell. Dr. Brown's scientific contributions include: Determining atomic structures of key ciliary components Elucidating mechanisms of intraflagellar transport Developing computational methods for cryo-EM model building Connecting structural findings to human ciliopathies He leads an active research group that collaborates across multiple disciplines to advance our understanding of cilia structure and function, with implications for numerous human diseases.

Aditya MahajanView profile

Professor

• Control Theory
• Stochastic Processes
• Reinforcement Learning
• +4 more

Aditya Mahajan is a Professor in the Department of Electrical and Computer Engineering at McGill University, Montreal, Canada. He holds affiliations with prominent research institutes including Mila (Quebec Artificial Intelligence Institute), CIM (Center for Intelligent Machines), GERAD (Group for Research in Decision Analysis), and ILLS (International Laboratory for Low Temperature Science). His research focuses on stochastic control, reinforcement learning, decentralized systems, and multi-agent decision-making. Key themes include analysis of Markov decision processes (MDPs), robust control strategies, and optimization in partially observable environments. He explores theoretical foundations of actor-critic algorithms, human-automation collaboration, and networked control systems with applications to robotics and autonomous systems. Recent work emphasizes scalable methods for complex systems, including approximation techniques for MDPs with unbounded costs, delay-resistant stochastic approximation, and policy design in POMDPs. His contributions span both algorithmic innovations and rigorous theoretical analysis, bridging gaps between control theory and modern machine learning paradigms. Major research directions include: Reinforcement learning in decentralized and partially observable settings Optimal control for human-machine teams Robustness and convergence properties of stochastic algorithms Multi-agent systems and mean-field games His articles highlight advancements in control theory, with recent attention to: Decision-making under cognitive load Convergence guarantees for Q-learning variants Structural results for restless bandits and resource allocation He participates in interdisciplinary collaborations through his affiliations, contributing to AI applications in robotics, energy systems, and networked control architectures.

Patrick FelkeView profile

Professor

• IT Security
• Cryptography
• Cryptanalysis
• +6 more

Prof. Dr. Patrick Felke is a Professor for IT Security at the University of Applied Sciences Emden/Leer, affiliated with the Department of Technology, Electrical Engineering and Informatics. His research focuses on advanced cryptographic techniques, including cryptanalysis of encryption algorithms, IoT security vulnerabilities (e.g., Z-Wave protocols), and mathematical foundations of cryptographic primitives. He leads the IT-Sec Lab (https://itsec-lab.hs-emden-leer.de/), which explores topics like multivariate cryptography, symmetric cipher design, and side-channel attack mitigation. His research spans both theoretical and applied aspects of information security, with notable contributions to cryptanalysis of TETRA encryption algorithms, analysis of multivariate encryption schemes (e.g., EFLASH), and identification of critical flaws in wireless communication standards. Felke also contributes to the Digital Hub Ostfriesland initiative, focusing on IT security advancements in regional technology ecosystems. Key areas of expertise include: Cryptographic protocol vulnerability analysis Z-Wave and IoT device security Design and cryptanalysis of symmetric/asymmetric encryption systems Mathematical foundations of nonlinear functions in cryptography Publications emphasize practical cryptanalysis methods, algorithmic decomposition techniques, and cryptographic standard evaluation. His work bridges academic research with real-world cybersecurity challenges in telecommunications and embedded systems.

• Functional Analysis
• Operator Theory
• Harmonic Analysis
• +7 more

MARIA CARMEN FERNANDEZ ROSELL is a Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia. She is a member of the ESALDI research group (Spaces and Algebras of Differentiable Functions), focusing on functional analysis, operator theory, and time-frequency analysis, with significant interdisciplinary contributions in Bayesian statistics and econometrics. Her research spans Functional Analysis , Operator Theory , Harmonic Analysis , and Bayesian Modeling . She investigates ultradifferentiable functions, pseudodifferential operators, composition operators on function spaces, and time-frequency localization. Her statistical work includes Bayesian inference for fat tails, skewness, model averaging, and spatial modeling, often in collaboration with prominent statisticians like Mark F. J. Steel and Peter J. Green. The most recent publications highlight her expertise in composition operators on Gelfand-Shilov classes, spectral analysis, and characterizations of function spaces via harmonic oscillators. Her work bridges pure mathematical analysis with applied statistical modeling, particularly in econometrics and biological systems. On Bayesian modeling of fat tails and skewness (1998) Benchmark priors for Bayesian model averaging (2001) Annihilating sets for the short time Fourier transform (2010) Dynamics and spectra of composition operators on the Schwartz space (2018) She has supervised doctoral research, including Dr. Manuel Valdivia Ureña. Her work is supported by extensive collaborations, particularly with Antonio Galbis, José Bonet, and Mark F. J. Steel. She has contributed to major journals such as the Journal of Mathematical Analysis and Applications, Journal of Econometrics, and The Journal of Fourier Analysis and Applications. She is active in the research group ESALDI, which focuses on the theory of spaces and algebras of differentiable functions, exploring structural properties, duality, and applications to partial differential equations and signal analysis.

Milan ZlatanovicView profile

Professor

• Differential Geometry
• Riemannian Geometry
• Finsler Geometry
• +3 more

Milan Zlatanović is Full Professor at the University of Niš's Faculty of Sciences and Mathematics. His research specializes in differential geometry with focus on Riemannian and Finsler geometries, geodesic mappings, affine connection spaces, and infinitesimal bending theory. Teaches courses in differential geometry, analytic geometry, non-Euclidean geometry, and elementary mathematics. Developed extensive educational resources including textbooks and problem sets for geometry courses. Recent publications examine geometric structures on generalized manifolds, quarter-symmetric connections, and curvature properties in specialized spaces. Maintains active research program in foundational geometric theories.

• Algebraic Geometry
• Moduli Spaces
• Gauge Theory
• +3 more

Dr. Zhenbo Qin is a Professor of Mathematics at the University of Missouri, affiliated with the College of Arts and Science and the Department of Mathematics. His research focuses on Algebraic Geometry, particularly moduli spaces, gauge theory, and string theory applications. He has held prestigious roles including the Leonard M. Blumenthal Distinguished Professor (2007-2012) and has received awards like the Sloan Research Fellowship and Chancellor’s Award. Education: Ph.D. (1990), M.Phil. (1989), M.S. (1987) in Mathematics from Columbia University; B.S. (1985) in Mathematics from Wuhan University, China; Diploma in English (1986) from Beijing Foreign Languages Institute. Research interests include moduli spaces of sheaves, stable maps, and their applications to Donaldson theory, Gromov-Witten theory, and Donaldson-Thomas theory. Notable contributions include solving F. Hirzebruch’s 1954 question, proving the smooth invariance of Kodaira dimension of complex surfaces with R. Friedman, and verifying the S-duality conjecture with W.-P. Li. His work has been supported by the National Science Foundation, NSA, and Simons Foundation. Awards include the Junior Faculty Enhancement Award (1994-1995) and the Alfred P. Sloan Fellowship (1997-2001). Teaching responsibilities include advanced courses like Algebraic Geometry (MATH 8615) and Differential Equations (MATH 4100). His research spans complex surfaces, Hilbert schemes, and vertex algebra connections to cohomology structures.

• Mathematical Logic
• Model Theory
• Operator Algebras
• +4 more

Bradd Hart is a Professor in the Department of Mathematics and Statistics at McMaster University , Canada. His work bridges mathematical logic and operator algebras , with a focus on model theory and its applications to C*-algebras and von Neumann algebras . Education: Hon. B. Mathematics and Philosophy, University of Waterloo Ph.D. Mathematics, McGill University Research Interests: Model theory of tracial von Neumann algebras Continuous logic and metric structures Computability in operator algebras Quantum complexity and noncommutative geometry Applications to quantum information theory Teaching: Instructor for graduate and undergraduate courses including Model Theory (MATH 711), Groups and Rings (MATH 4GR3), Linear Algebra (MATH 1B03), and Algebra I (MATH 701)

• Several Complex Variables
• Harmonic Analysis
• Partial Differential Equations
• +3 more

Ziming Shi is a Visiting Assistant Professor in the Department of Mathematics at the University of California, Irvine (UCI). He earned his Ph.D. in Mathematics from the University of Wisconsin-Madison in 2020 under the supervision of Professor Xianghong Gong. His research focuses on Several Complex Variables, Harmonic Analysis, Partial Differential Equations, and Complex Geometry, with a particular emphasis on boundary regularity, Sobolev estimates, and geometric analysis. He organizes the AMS Fall 2024 Western Sectional Meeting Special Session on Several Complex Variables . His academic profile includes affiliations with UCI's Rowland Hall and active participation in conferences and research collaborations. Ziming's recent work explores topics such as the ∂-equation on pseudoconvex domains, global Newlander-Nirenberg theorems, and oblique derivative problems. His research bridges complex analysis, differential geometry, and functional analysis, addressing fundamental questions in PDE regularity and operator theory.

Volker RundeView profile

Professor

• Functional Analysis
• Banach Algebras
• Operator Theory
• +4 more

Volker Runde is a Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta. His research focuses on functional analysis, operator theory, and abstract harmonic analysis with particular interest in Banach algebras, amenability, and quantum groups. He holds a Diplom (M.Sc.) from Westfälische Wilhelms Universität Münster (1990), a Ph.D. from University of California, Berkeley (1993), and a Habilitation from Universität des Saarlandes (1999). Runde has taught advanced courses in real/complex variables, topology, and functional analysis at both undergraduate and graduate levels. His work bridges classical functional analysis with modern operator space theory, addressing questions of amenability, operator amenability, and structure of Banach algebras. He has authored multiple influential books including *Lectures on Amenability* (2002) and *Amenable Banach Algebras: A Panorama* (2020), and over 60 peer-reviewed articles in journals like *Journal of Functional Analysis* and *Proceedings of the London Mathematical Society*. Runde has organized international conferences such as Banach Algebras 2009 and CAHAS 2020, and contributed to editorial work for *Contemporary Mathematics* volumes. His Erdős number is 4.

Nitu KitchlooView profile

Professor

• Symplectic geometry
• Topology of Kac-Moody groups
• Classical algebraic topology
• +4 more

Nitu Kitchloo is a Professor and former Chair of the Department of Mathematics at Johns Hopkins University (JHU), part of the Krieger School of Arts & Sciences. He holds a PhD from MIT (1998) under Haynes Miller, focusing on Kac-Moody groups' topology. Previously, he served as Chair (2014–2017) and held academic roles at UC San Diego (2004–2010) and JHU (2001–2004). His research spans symplectic geometry, algebraic topology, and Kac-Moody group topology, with notable contributions to elliptic cohomology, stable symplectic categories, and real-oriented cohomology theories. Education: PhD in Mathematics from MIT (1998), BS from Caltech (1993). Professional roles include Associate Editor of the American Journal of Mathematics, NSF and Simons Foundation reviewer, and conference organizer (e.g., Midatlantic Topology Conference). Awards include the Simons Fellowship (2017–2018) and NSF grants (2004–2017). Research interests emphasize symplectic structures, Kac-Moody group topology, and algebraic topology applications. Recent work explores quantization in symplectic categories, real Johnson-Wilson theories, and unstable Adams operations' topological implications. Teaching includes advanced topology and calculus courses at JHU, UCSD, and Northwestern. Publications span over 30 peer-reviewed articles in journals like Advances in Mathematics and Duke Mathematical Journal. He has presented at international conferences, including the Alpine Conference on Algebraic Topology (2016) and MSRI workshops (2014).