Find Academic Supervisors

• Several Complex Variables
• Partial Differential Equations
• Complex Analysis
• +4 more

Emil J. Straube is a Professor of Mathematics at Texas A&M University, where he has held the rank of Professor since 1996 and served as Department Head from 2011 to 2019. He earned his Ph.D. in Mathematics from the Swiss Federal Institute of Technology (ETH Zurich) in 1983 under Prof. K. Osterwalder. His research focuses on Several Complex Variables, with emphasis on the ∂-Neumann problem, Bergman kernel, and boundary regularity of solutions to Cauchy-Riemann equations. Education: Ph.D. in Mathematics, ETH Zurich, 1983 Diploma in Mathematics (dipl. math. ETH), ETH Zurich, 1977 Research Interests: His work bridges complex analysis, partial differential equations, and operator theory. Key topics include global regularity of the ∂-Neumann operator, compactness estimates, D’Angelo forms, and the Diederich-Fornaess index. He has contributed foundational results on Sobolev regularity and geometric conditions for subellipticity. Publications & Awards: With over 50 peer-reviewed articles, Straube has authored influential monographs such as Lectures on the L2-Sobolev Theory of the ∂-Neumann Problem . Notable accolades include the Stefan Bergman Prize (1995, jointly with H.P. Boas), AMS Fellow (2013), and Texas A&M’s Distinguished Achievement Award (1998). His work has been supported by NSF grants totaling over $3 million and international collaborations at institutions like the Erwin Schrödinger Institute (Vienna). Service & Leadership: Organized major conferences, including the 2015 Qatar Complex Analysis Conference Edited journals such as Journal of Mathematical Analysis and Applications and Complex Analysis and Its Synergies Guided 7 Ph.D. students and co-mentored numerous postdocs Current Activities: Active in teaching advanced graduate courses (e.g., Complex Variables I/II) and continues research in global regularity theory and CR geometry.

Zdzislaw BrzezniakView profile

Professor

• Stochastic Partial Differential Equations
• Turbulence
• Geometric Analysis
• +5 more

Professor Zdzislaw Brzezniak is a Professor in the Department of Mathematics at the University of York, where he has been since 2005. He holds a PhD in PDEs from Jagellonian University, Krakow (1988). His research focuses on stochastic partial differential equations (SPDEs), turbulence, geometric analysis, and harmonic analysis, with notable contributions to Navier-Stokes and Euler equations. He has organized major international workshops, including events on stochastic PDEs at ICMS (Edinburgh) and the Isaac Newton Institute. Education: PhD in PDEs (Jagellonian University, 1988). Research Interests: SPDEs, stochastic geometric problems (e.g., Landau-Lifshitz equations), fluid dynamics, and applications in physics. His work bridges pure and applied mathematics, influencing theoretical frameworks in micromagnetism and quantum field theory. Key Awards: 2013 Best Paper Award, 1st Prize, Institute of Information Theory and Automation. Supervision: Advised over 10 PhD students, including Nimit Rana (2019) and Fabian Hornung (2018). Current students include Asma Alalyani and Hessa Alharbi. Active in mentoring across stochastic analysis and geometric PDEs. Labs/Groups: Member of Mathematical Finance and Stochastic Analysis Research Group, and Geometry and Analysis Research Group at the University of York.

Laura ColmenarejoView profile

Assistant Professor

• Algebraic combinatorics
• Symmetric functions
• Enumerative combinatorics
• +4 more

Laura Colmenarejo is an Assistant Professor in the Department of Mathematics at NC State University, part of the College of Sciences. She holds a PhD from the University of Sevilla (2016), a Master’s from Universidad Autónoma de Madrid (2011), and a Bachelor’s in Mathematics (2010). Her research focuses on algebraic combinatorics, symmetric functions, enumerative combinatorics, and representation theory of finite groups. She has advised multiple graduate and undergraduate students and has held previous positions at UMass Amherst, the Max Planck Institute in Leipzig, and York University. Her work spans topics like quantum cohomology, chromatic symmetric functions, and combinatorial structures such as posets and permutations. She co-organizes the Algebra and Combinatorics seminar at NC State and contributes to conferences like Triangle Lectures in Combinatorics. Her research emphasizes interactions between algebraic geometry, representation theory, and discrete mathematics. Advising: Camryn Thompson, Alex Steward, Ian Klein, Spencer Daugherty (graduate students), and Felix Hutchins, Etienne Phillips, Viviene Do (undergraduate researchers). Grants and funding details not explicitly mentioned. Labs/Teams: Part of the Algebra and Combinatorics Faculty Research Group at NC State.

Abbas EdalatView profile

Professor

• Computer Science
• Mathematics
• Exact Computation
• +7 more

Abbas Edalat is a Professor of Computer Science and Mathematics at Imperial College London, and an Adjunct Professor at the Institute for Research in Fundamental Sciences, Tehran. He leads two research groups: Algorithmic Human Development and Continuous Data-Types and Exact Computation. His work spans computational mathematics, psychotherapy models, and exact real-number computation. Notably, he received the LICS 2017 Test-of-Time Award for foundational contributions to logic in computer science. Research interests include self-attachment psychotherapy, computational differential calculus, topology, and bisimulation in probabilistic systems. He has pioneered exact computation frameworks for real numbers, geometry, and dynamical systems, with applications in neuroscience and artificial intelligence. Professional activities include keynote talks at conferences like IJCNN and workshops on psychotherapy in Iran and the UK. Teaching includes advanced courses on dynamical systems, quantum computing, and computational techniques. He advises PhD students globally and chairs initiatives like the Science and Arts Foundation to expand educational access in developing nations. His interdisciplinary work bridges mathematics, computer science, and clinical psychology.

• Differential Geometry
• Exterior Differential Systems
• Integrable Systems
• +7 more

Emilio Musso is a Full Professor in the Department of Mathematical Sciences "GL Lagrange" (DISMA) at Politecnico di Torino, Italy. His research spans differential geometry, exterior differential systems, integrable systems, and submanifold theory, with strong applications in geometric analysis and mathematical physics. Research Interests: Differential Geometry, Conformal Geometry, Lorentzian and CR Geometry, Integrable Systems, Elasticae, Variational Problems on Curves and Surfaces. Academic Leadership: Scientific Director of the PRIN projects (2013–2016, 2019–2022) and ReCoMa (2023–2025); Scientific Manager of the Erasmus+ ECCUM project (2015–2018). External Appointments: Full Professor at Turin Polytechnic University in Tashkent (2011–2021). His research focuses on the geometric properties of curves and surfaces under conformal and pseudohermitian structures, including null curves in anti-de Sitter space, elasticae in the hyperbolic plane and 2-sphere, and Legendrian curves in the 3-sphere. He frequently employs integrable systems techniques and exterior differential systems to analyze geometric evolution equations and variational problems. The recent publications reveal a consistent focus on conformal invariants, geometric flows, CR geometry, and the interplay between differential geometry and soliton theory. His work often involves collaboration with Lorenzo Nicolodi, Álvaro Pámpano, and Gary R. Jensen. Scientific Awards: IOP Select (2015) ANASSILAOS Award (2015) Professional Service: Member of the Italian Mathematical Union (2015–2021), Interuniversity Consortium for Higher Education in Mathematics (2021), and the F. Severi Institute of Higher Mathematics (1986–2021). Former editor-in-chief (2018–2021) and editorial board member (2015–2018) of Mathematical Seminar Reports . Active participant in scientific committees of international conferences in differential geometry. Teaching and Mentorship: Longstanding involvement in doctoral programs at the University of Turin, Politecnico di Torino, and the University of L’Aquila. He has taught courses such as Linear Algebra and Geometry and Differential and Computational Geometry, and served as a collaborator in the PhD course Fundamentals of Differential Geometry . Research Groups: Functional Analysis and Differential Geometry (DISMA), with active projects in harmonic analysis, discrete differential geometry, and submanifolds in Lorentzian conformal and Cauchy-Riemann geometries.

Chris WendlView profile

Professor

• Symplectic Topology
• Contact Geometry
• Differential Geometry
• +3 more

Chris Wendl is a Professor of Differential Geometry and Global Analysis at the Humboldt University of Berlin's Institute of Mathematics, part of the Faculty of Mathematics and Natural Sciences. He specializes in symplectic and contact topology, with a focus on pseudoholomorphic curves, contact manifolds, and applications in symplectic field theory. Education & Academic History: PhD in Mathematics from New York University (2005), advised by Helmut Hofer. Postdocs at MIT, ETH Zürich, LMU Munich, and Humboldt University. Reader at University College London (2014–2016), then returned to Humboldt as Professor (2016–present). Research Interests: Wendl's work revolves around the analytical theory of pseudoholomorphic curves, transversality, and their applications in classifying symplectic fillings, studying contact structures, and exploring symplectic dynamics. His contributions include foundational results on super-rigidity, spine removal surgery, and algebraic torsion in contact manifolds. Awards & Grants: ERC Consolidator Grant (€1.6M, 2018–2023). Royal Society University Research Fellowship (2011–2016). Leverhulme Trust Grant (2013–2016) and EPSRC Grant (2013–2016). Advising & Service: Supervised over 20 PhD, Master's, and Bachelor's students. Organized major conferences like SFT10 Berlin (2023) and CAST 2019. Editorial roles for Journal of Symplectic Geometry and Geometry & Topology . Research Group: Current members include PhD students Gerard Bargalló and Naageswaran Manikandan, and postdocs Marc Kegel and Felix Schmäschke.

Gregory MarkowskyView profile

Senior Lecturer

• Stochastic processes
• Complex analysis
• Graph theory

Gregory Markowsky serves as a Senior Lecturer in the School of Mathematics at Monash University, maintaining an active research profile with continuous publication output through 2025. His academic appointment shows no indication of part-time status, emeritus designation, or former staff classification. His research centers on three interconnected domains: Stochastic processes, particularly planar Brownian motion and random walk theory Complex analysis with applications to probabilistic models Graph theory focusing on algebraic and combinatorial structures These areas converge in his investigation of probabilistic phenomena with geometric interpretations. Recent publication trends reveal sustained productivity with 61 research outputs cataloged, including 4 articles in 2025 alone. His work demonstrates consistent methodological focus on stochastic analysis and combinatorial structures, with increasing cross-disciplinary applications in forensic science and econometrics as evidenced by 2024-2025 publications. Markowsky has secured three significant research projects funded by the Australian Research Council, including: "Planar Brownian motion and complex analysis" (2014-2017) as Primary Chief Investigator "Finite Markov chains in statistical mechanics and combinatorics" (2014-2017) "AMSI Industry Internship: Melbourne Storm" (2013) His ORCID profile (0000-0003-1656-337X) documents extensive scholarly activity with international collaborations. Professional engagement includes contributions toward UN Sustainable Development Goals through mathematical applications, though specific goal alignments aren't detailed in available materials. His email contact Greg.Markowsky@monash.edu remains active with current research dissemination.

Debraj ChakrabartiView profile

Professor

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

Debraj Chakrabarti is a Professor in the Department of Mathematics at Central Michigan University (CMU), within the College of Science and Engineering. His research focuses on Several Complex Variables, studying holomorphic functions in higher-dimensional complex manifolds and using Cauchy-Riemann equations. He holds a Ph.D. from the University of Wisconsin. Dr. Chakrabarti organizes the CMU Graduate Student Mathematics Seminar and co-organizes the Geometry (TAG) Seminar. He supervises the CMU Math Department's Problem of the Week. His teaching spans courses like Calculus, Complex Analysis, and Differential Equations, with recent roles in MTH 636, MTH 637, and MTH 233. His research explores Bergman projections, ∂̄-problems, and geometric analysis in complex spaces. Collaborations include work on monomial polyhedra, Reinhardt domains, and curvature computations. He has mentored over a dozen students, contributing to publications in journals like Advances in Mathematics and Mathematische Annalen . Education: Ph.D., University of Wisconsin Awards: Students under his guidance have won recognitions like the Goldwater Scholarship. Events: Co-organized conferences at MSRI, AMS meetings, and the Midwest Several Complex Variables series.

• Complex Analysis
• Geometry
• CR Manifolds
• +2 more

Prof. Judith Brinkschulte is a faculty member at the Institute of Mathematics , Leipzig University. Her research focuses on complex analysis and geometry, particularly on problems related to CR manifolds and holomorphic structures. Contact: brinkschulte@math.uni-leipzig.de Location: Leipzig, Germany Her work explores: L²-estimates for Cauchy-Riemann operators Analytic extension problems Partial differential equations on CR manifolds Levi-flat hypersurfaces and holomorphic foliations Key themes in her publications (2007–2020) include curvature restrictions in complex projective planes, normal bundle properties of Levi-flat structures, and stability theorems for projective CR manifolds. While no specific awards are listed, her contributions to these advanced geometric problems are notable.

• Several Complex Variables
• Partial Differential Equations
• Harmonic Analysis
• +2 more

Andy Raich is a Professor and Undergraduate Coordinator in the Department of Mathematical Sciences at the University of Arkansas. He has been at the University since 2008, progressing from Assistant Professor to Associate Professor and currently serving as Professor since Fall 2018. His academic journey includes visiting positions at Universidade Federal de São Carlos, University of Cambridge, and the Erwin Schrodinger International Institute for Mathematical Physics. Raich's research focuses on Several Complex Variables , Partial Differential Equations , and Harmonic Analysis . His work centers on CR geometry, the complex Green operator, heat equations on quadric manifolds, and boundary value problems in complex analysis. His research program investigates fundamental solutions to the $\Box_b$ operator, closed range properties of $\bar\partial_b$, and global regularity questions in abstract CR manifolds. His publication record shows consistent high-impact output with recent work examining distributions with decay properties, boundary invariants, and asymptotic analysis on quadric manifolds. The research demonstrates sophisticated interplay between geometric analysis, functional analysis, and partial differential equations, with particular emphasis on Fourier analytic techniques and microlocal methods. Plenary Speaker, Spring Western Sectional Meeting of the AMS (2017) Fulbright College Master Researcher Award (2016) Cambridge Faculty Fellowship (2015-2016) Excellence in Teaching Award, University of Arkansas (2012) Multiple teaching awards from University of Wisconsin-Madison Raich has successfully secured significant research funding including NSF grants and Simons Foundation Collaboration Grants totaling over $300,000. He has organized international workshops including the UFSCar International Workshop on Partial Differential Equations and Complex Analysis (a satellite conference of the International Congress of Mathematicians 2018). His service includes chairing the Hiring Search Committee, serving on the Promotion and Tenure Committee, and co-chairing the DEI Committee in the Department of Mathematical Sciences. He actively mentors students and has developed outreach programs including the Celebration of the Mind math fair for K-12 students and the M-SEA program for underrepresented minorities in geosciences. His teaching portfolio spans from introductory calculus to advanced graduate courses in complex analysis and partial differential equations.

Yunus ZeytuncuView profile

Professor

• Complex Geometry
• Operator Theory
• Several Complex Variables
• +2 more

Yunus Zeytuncu serves as a Professor of Mathematics, Associate Dean, and Director of the Center for Mathematics Education at the University of Michigan-Dearborn's College of Arts, Sciences, and Letters. He holds a position in the Department of Mathematics and Statistics and maintains his office in the College of Arts, Sciences, and Letters Building at 4901 Evergreen Road in Dearborn, Michigan. Dr. Zeytuncu earned his PhD in Mathematics from Ohio State University in 2010. Prior to joining the University of Michigan-Dearborn in 2013, he held a visiting assistant professor position at Texas A&M University. His research focuses on complex analysis and operator theory, particularly in the areas of Complex Geometry, Operator Theory, and Several Complex Variables. Zeytuncu's work consistently explores the intersection of geometric structures and analytical properties in complex spaces, with particular emphasis on the Kohn Laplacian, Bergman projection, and related operators. His theoretical investigations often address regularity properties in Lp spaces and Sobolev spaces, contributing to fundamental understanding in several complex variables. Analysis of his publication record reveals a sustained research trajectory centered on spectral theory in complex domains, especially spheres and Hartogs-type domains. His work demonstrates a progression from foundational regularity questions to more specialized spectral asymptotics, with increasing attention to geometric structures in CR manifolds. The 2021-2025 publications show expanded scope including geometric conjectures and educational scholarship. Distinguished Teaching Award from the Michigan Section of the Mathematical Association of America (MAA), 2019 Michigan Professor of the Year by the Michigan Association of State Universities, 2021 As an academic leader, Zeytuncu coordinates the NSF REU Site in Mathematical Analysis and Applications, providing research opportunities for undergraduate students. He also directs the Center for Mathematics Education, indicating significant involvement in mathematics pedagogy and curriculum development. His educational scholarship, including publications on flipping calculus courses and diversity initiatives, demonstrates commitment to innovative teaching methods and broadening participation in mathematics. Through his role with the Math Alliance as both a mentor and organizer of conferences like the Career Paths Workshop, Zeytuncu contributes to national efforts supporting underrepresented students in mathematical sciences. His leadership extends to organizing academic conferences including AMS Special Sessions and the Midwest Several Complex Variables Conference.

• Partial differential equations of mixed type
• Nonlinear hyperbolic conservation laws
• Kinetic theory
• +3 more

Charis Tsikkou is an Associate Professor and Associate Director for Undergraduate Programs in the Department of Mathematics at West Virginia University, within the Eberly College of Arts and Sciences . Her research focuses on Applied Analysis , particularly in partial differential equations, nonlinear hyperbolic conservation laws, and fluid dynamics. Education: Ph.D. and M.Sc. in Mathematics, Brown University B.Sc. in Mathematics, University of Cyprus Research Interests: Dr. Tsikkou specializes in partial differential equations of mixed type , kinetic theory , and nonlinear diffusive-dispersive equations . Her work often addresses challenges in fluid dynamics and geometric analysis. Grants & Leadership: Principal Investigator on NSF grants for conferences and REU programs in applied mathematics. Co-Principal Investigator on grants for math outreach initiatives like the WVU Junior Math Club. Outreach & Teaching: Organized the WVU Integration Bee and Junior Math Competition for high school and undergraduate students. Teaches advanced courses in partial differential equations, dynamical systems, and real analysis. Professional Activities: Active speaker at conferences such as the Midwest PDE Seminar and the Southeastern-Atlantic Regional Conference on Differential Equations.

• CR Geometry
• Complex Geometry
• Differential Geometry
• +3 more

Costantino Medori is an Associate Professor in the Department of Mathematical, Physical and Computer Sciences at the University of Parma, Italy, holding this position since 2002 after serving as Assistant Professor from 1997–2002. He maintains active affiliations as a member of the Ph.D. program committee ( Collegio dei docenti ) for Mathematics at the University of Milan since 2010 and has held visiting positions at the University of Bochum (1998) and University of Edinburgh (2006). His educational foundation includes a Laurea in Mathematics from the University of Pisa (1991), post-lauream studies at Istituto Nazionale di Alta Matematica (1991–1992), a Ph.D. from SISSA Trieste (1992–1996), and a post-doctoral fellowship at the University of Pisa (1996–1997). 1991: Laurea in Mathematics, University of Pisa 1991–1992: Post-lauream, Istituto Nazionale di Alta Matematica 1992–1996: Ph.D., SISSA Trieste 1996–1997: Post-doc, University of Pisa Medori's research centers on CR Geometry and Complex Geometry , with specialized focus on real submanifolds of complex manifolds , homogeneous CR structures , para-complex geometry , and Hermitian metrics . His work bridges differential geometry with complex analysis through rigorous investigations of nondegenerate structures, Lie algebra classifications, and embedding theorems for real orbits in complex spaces. Key contributions include novel frameworks for higher-order Levi forms and balanced Hermitian structures on homogeneous manifolds. His 2020–2024 publications reveal a concentrated trajectory in homogeneous CR manifold theory, emphasizing finiteness conditions, real form classifications, and transverse differential forms. Collaborative patterns dominate his output, primarily with S. Marini and M. Nacinovich, while maintaining consistent engagement with foundational geometric structures across 25+ years of research. As an educator, Medori has taught advanced geometry courses for Mathematics degrees (2013–2025), foundational geometry for Engineering and Architecture, and specialized Computer Technology for Dental Medicine. His teaching portfolio spans 12 academic years with continuous appointments as teacher tutor for Mathematics students and Ph.D. committee membership at Milan. Recent activities include FBK-CIRM's "Research in pairs" program, indicating ongoing collaborative research momentum without explicit grant documentation.

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

Harold Boas is a Professor and Presidential Professor for Teaching Excellence at Texas A&M University, affiliated with the Department of Mathematics within the College of Arts & Sciences. His research focuses on complex analysis, particularly the Bergman kernel, boundary regularity theory for Cauchy-Riemann equations, and several complex variables. He holds a Ph.D. from MIT (1980) and dual degrees from Harvard University (S.M. and A.B., 1976). Boas’s work bridges theoretical mathematics with pedagogical innovation, emphasizing clarity and accessibility in teaching. His research interests include geometric function theory, partial differential equations in complex domains, and historical aspects of mathematics. He has contributed to foundational topics like the Schwarz lemma, arbelos geometry, and the Lu Qi-Keng conjecture. His publications span technical articles, educational materials, and explorations of mathematical history and culture. Notable works include Julius and Julia: Mastering the Art of the Schwarz Lemma (2010) and Why I Became a Mathematician (2015), blending personal narrative with academic rigor. He was honored with the Presidential Professorship for Teaching Excellence, reflecting his dedication to educational excellence. Education: Ph.D. in Mathematics, Massachusetts Institute of Technology, 1980 S.M. in Mathematics, Harvard University, 1976 A.B. in Mathematics, Harvard University, 1976 Awards: Presidential Professor for Teaching Excellence, Texas A&M University Boas’s advising and grants emphasize interdisciplinary approaches to complex analysis. His work often intersects with geometric interpretations and computational tools, as seen in collaborations on mathematical visualization (e.g., Graphica 1 ). He maintains a public-facing website ( https://haroldpboas.gitlab.io/ ) showcasing teaching materials and research.

Jan E. GerkenView profile

Assistant Professor

• Geometric Deep Learning
• Equivariant Neural Networks
• Neural Tangent Kernels
• +6 more

Jan E. Gerken is an Assistant Professor leading a research group focused on the mathematical foundations of artificial intelligence, supported by the Wallenberg AI, Autonomous Systems and Software Program. His work bridges theoretical physics and machine learning, with a PhD in string theory where he computed genus-one scattering amplitudes. Currently, he investigates wide neural networks, neural tangent kernels, and their connections to quantum field theory, alongside mathematical aspects of geometric deep learning and spherical computer vision. His research spans equivariant neural networks , geometric deep learning , neural tangent kernels , and topological physics applications . Recent publications demonstrate emergent equivariance in deep ensembles, gauge-equivariant models for Chern number prediction, and HEALPix-based transformers for spherical data. Key collaborations include work on modular graph forms in string theory and diffeomorphic counterfactuals for explainable AI. Articles highlight trends in symmetry-driven architectures , spherical data processing , and theoretical physics-motivated deep learning . Gerken’s contributions include open-source implementations like HEAL-SWIN and theoretical frameworks for equivariant training dynamics. His work addresses both foundational mathematical questions and practical applications in medical imaging, autonomous systems, and climate modeling.