Find Academic Supervisors

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

Dr. Weiyi Zhang is an Associate Professor at the Mathematics Institute of the University of Warwick. His research focuses on symplectic topology, complex geometry, and their interactions. He contributes to teaching responsibilities such as MA3D9 Geometry of Curves and Surfaces (Term 1) and MA4E0 Lie Groups (Term 2). He is also updating lecture notes for MA954 Complex Geometry for the 2024 Spring term. His research explores advanced topics including Kodaira dimensions of almost complex manifolds, harmonic forms on specific manifolds, and the intersection theory of almost complex submanifolds. Recent work emphasizes symplectic dynamics, geometric structures, and moduli spaces of J-holomorphic subvarieties. Zhang’s publications span reputable journals like Advances in Mathematics , American Journal of Mathematics , and Selecta Mathematica . His research trends reflect deep engagements with geometric analysis, differential topology, and algebraic geometry, often bridging symplectic and complex geometric frameworks. Teaching materials include detailed lecture notes for his courses, with examples provided for both undergraduate and graduate modules. No awards or grants are explicitly mentioned in the provided text, though his impactful contributions to geometric research are evident. Zhang’s work is foundational in understanding structures of almost complex manifolds and their symplectic properties, with implications for broader geometric and topological theories.

• Complex Geometry
• Riemannian Geometry
• Algebraic Topology
• +4 more

Dr. Michael Albanese is a Lecturer in the School of Computer and Mathematical Sciences at the University of Adelaide, within the Faculty of Sciences, Engineering and Technology . His research focuses on complex and Riemannian geometry, algebraic topology, and the study of manifolds, including their structures such as almost complex structures, spin structures, and specialized Riemannian metrics. He is eligible to supervise Masters and PhD students as a co-supervisor and encourages inquiries from curious candidates. He holds an office in Ingkarni Wardli Building, Room 6.58 on the North Terrace campus. His academic profile emphasizes geometric analysis and topological properties of manifolds, often exploring questions beginning with 'Is there a manifold such that...?'

• Dynamical Systems
• Ergodic Theory
• Topology
• +3 more

Roman Hric serves as an Associate Professor in the Department of Mathematics at Matej Bel University's Faculty of Economics in Banská Bystrica, Slovakia. His academic profile encompasses teaching core mathematics courses including Mathematical Analysis 1-4, Difference Equations, and Partial Differential Equations, while maintaining an active research program in dynamical systems theory. His educational qualifications include: Master of Science (Mgr.) from Comenius University Bratislava (1993) PhD. from Comenius University Bratislava (1999) Habilitation (Doc.) from Silesian University Opava (2005) Hric's research centers on Dynamical Systems and Ergodic Theory, with particular emphasis on minimality phenomena, topological entropy, and structural properties of invariant sets. His work bridges Topology (General and Algebraic), Differential Geometry, and the dynamical analysis of Ordinary and Partial Differential Equations. The interdisciplinary nature of his research connects pure mathematics with applications in complex systems modeling. His publication trajectory reveals evolving focus from foundational studies on interval maps (1999-2000) through investigations of minimal systems and chaos (2003-2009) toward contemporary work on abelian group actions and minimality inheritance (2018-2024). Recent publications demonstrate increasing sophistication in handling abstract dynamical structures while maintaining connections to concrete topological spaces. No scientific awards or honors were documented in the source materials. Regarding academic mentorship and funding, the available documentation does not specify graduate students supervised, research grants awarded, or collaborative projects. His consultation hours are scheduled Fridays 09:00-12:00 at the Department of Mathematics, Tajovského 40, 97401 Banská Bystrica.

Joseph MillerView profile

Professor

• Computability Theory
• Randomness
• Mathematical Logic
• +5 more

Joseph Miller is a Professor in the Department of Mathematics at the University of Wisconsin–Madison. He holds a Ph.D. in Mathematics from Cornell University (2002) and a Master's in Computer Science. After a VIGRE Postdoctoral Fellowship at Indiana University and a tenure-track role at the University of Connecticut, he joined UW–Madison in 2008. His research focuses on computability theory, algorithmic randomness, and mathematical logic, with significant contributions to enumeration degrees, effective Hausdorff dimension, and computable analysis. Ph.D., Mathematics, Cornell University (2002) M.S., Computer Science, Cornell University VIGRE Postdoctoral Fellowship, Indiana University Tenure-track, University of Connecticut Professor, University of Wisconsin–Madison Miller's work bridges computability, randomness, and topology. He has co-authored over 50 publications, including foundational studies on K-triviality, symmetric difference operators, and the Brouwer fixed point theorem in computable settings. His recent papers explore energy randomness, connections between cototality and enumeration degrees, and computability in geometric contexts. Key trends in his research include: Characterizing computable closed sets in $\mathbb{R}^n$ Effective versions of classical theorems (e.g., Brouwer, Ramsey) Interactions between randomness and differentiability Structural properties of Turing degrees and enumeration degrees Scientific awards and collaborations: VIGRE Postdoctoral Fellowship Extensive collaborations with logicians like Noam Greenberg, André Nies, and Uri Andrews He has advised doctoral students and contributed to the field through expository writing and open questions in computability. Miller's work often combines homology theory, measure theory, and recursion to analyze algorithmic complexity in continuous and discrete mathematics.

Ilia BinderView profile

Professor

• Geometric Function Theory
• Complex Dynamics
• Complex Analysis
• +4 more

Ilia Binder is a Professor of Mathematics at the University of Toronto, holding positions at both the St. George and Mississauga (UTM) campuses. He currently serves as Chair of the Mathematical and Computational Sciences at UTM. His research focuses on Geometric Function Theory, Complex Dynamics, and Computability in Analysis and Dynamical Systems, with notable contributions to topics like Stochastic Löwner Evolution (SLE), quasi-periodic operators, and harmonic measure analysis. His work bridges pure mathematics with computational aspects, addressing foundational questions in analysis and probability. Research Interests Geometric Function Theory Complex Analysis and Potential Theory Computational Complexity in Dynamical Systems Stochastic Löwner Evolution Quasi-periodic and Random Operators His recent research explores computability aspects of equilibrium states in dynamics and inverse Gaussian multiplicative chaos, advancing understanding of algorithmic limits in mathematical physics. He also investigates critical interfaces in statistical physics models, leveraging conformal invariance principles. Labs & Collaborations Binder is affiliated with the Centre for Nonlinear Analysis and Modeling (CNAM) at UTM, focusing on interdisciplinary research in nonlinear systems. His work often intersects with stochastic processes, spectral theory, and computational mathematics.

Alexander VolfovskyView profile

Associate Professor

• Network Analysis
• Causal Inference
• Statistical Methodology
• +4 more

Alexander Volfovsky is an Associate Professor of Statistical Science at Duke University, affiliated with the Trinity College of Arts & Sciences. He holds a Ph.D. in Statistics from the University of Washington (2013), and a B.Sc. (Hons) and M.S. in Mathematics from the University of Chicago (2009). His research focuses on network analysis, causal inference, and computational-statistical tradeoffs, with applications in social sciences, epidemiology, and public health. **Education:** Ph.D., University of Washington, 2013 B.Sc. (Hons) and M.S., University of Chicago, 2009 **Research Interests:** Volfovsky explores network dynamics, causal inference under complex dependencies, and statistical methods for large-scale data. Key areas include: - Political polarization and social media experiments - Epidemic modeling on dynamic networks - Interpretable machine learning for causal inference - Design of randomized experiments in networked systems - Applications in public health and policy evaluation **Grants & Funding:** Principal investigator for NIH-funded studies on anti-seizure treatment efficacy and NSF-funded projects on interpretable AI in healthcare. Collaborates with institutions like Massachusetts General Hospital and the John Templeton Foundation. **Awards:** Thomas Langford Award, 2023 **Labs & Initiatives:** Co-Director of the Polarization Lab (studying partisan dialogue) and Almost Matching Exactly Lab (interpretable causal inference tools). Past President of the New Researchers Group at the Institute of Mathematical Statistics.

Richard PengView profile

Associate Professor

• Algorithms
• Theoretical Computer Science
• Graph Theory
• +4 more

Richard Peng is an Associate Professor in the Computer Science Department at Carnegie Mellon University, part of the School of Computer Science. He specializes in designing efficient algorithms for fundamental computational problems, particularly in graph algorithms, dynamic algorithms, and linear algebraic computations. Prior to joining CMU in 2023, he earned his BMath from the University of Waterloo, a PhD from CMU under Gary L. Miller, and completed a postdoc at MIT's Applied Math department. His research focuses on advancing algorithmic efficiency, including work on sparse linear systems, graph convolutions, and flow optimization. He advises PhD students Hoai-An Nguyen, Alicia Stepin, and Junzhao Yang. His teaching includes courses such as 15495 and 15151, reflecting his engagement in both research and education. Peng’s articles span topics like approximate spanning tree counting, dynamic graph algorithms, and Laplacian solvers, emphasizing practical scalability and theoretical guarantees. His contributions bridge theoretical computer science with applied challenges in network analysis and numerical computation.

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

Dr. Yifei Pan is a Professor of Mathematics at Indiana University-Purdue University Fort Wayne (IPFW), affiliated with the Department of Mathematical Sciences. His research focuses on Several Complex Variables, Partial Differential Equations, and their applications in geometry and analysis. He holds a Ph.D. from the University of Michigan (1990), an M.A. (1984), and a B.A. (1982) in Mathematics from Jiangxi Normal University, China. Education: Ph.D., University of Michigan, 1990 M.A., Jiangxi Normal University, 1984 B.A., Jiangxi Normal University, 1982 His research interests span complex analysis, differential equations, and geometric analysis. Notable contributions include studies on holomorphic mappings, unique continuation properties, and nonlinear differential systems. He has directed projects in Java-based mathematical visualization and distance learning technologies. Awards: Dr. Pan has received the Pippert Science Research Scholar Award (2001), Sigma Xi Researcher of the Year (2000), and multiple grants from NSF, Purdue Research Foundation, and international travel grants. Professional Roles: Director of the Java Technology Training and Research Centers at IPFW Guest Professor at Jiangxi Normal University (2004–present) Grants and Projects: Includes NSF funding for Java programs in mathematics, France Research Fellowships, and IPFW summer grants. His work integrates pure mathematics with computational tools, emphasizing educational technology. Labs/Teams: Java Technology Research Center and initiatives in web-enabled distance learning for mathematics.

• Complex Geometry
• Differential Geometry

Antonella Nannicini serves as an Associate Professor in the Department of Mathematics and Computer Science at the University of Florence, actively contributing to academic discourse through seminar organization including a January 2021 session on 'Almost complex setting for Kodaira dimension'. Her research specializes in: Complex Geometry Differential Geometry with focus on foundational structures in geometric analysis. No scientific awards were documented in the source material. Details regarding student mentorship and research funding remain unspecified in available records.

Paul FeehanView profile

Professor

• Nonlinear elliptic and parabolic PDE
• Geometric analysis
• Mathematical physics
• +6 more

Paul Feehan is a Distinguished Professor of Mathematics at Rutgers, The State University of New Jersey, New Brunswick, affiliated with the Department of Mathematics. He serves as the Graduate Director and leads research in nonlinear elliptic/parabolic PDEs, geometric analysis, mathematical physics, and topology, with applications to gauge theory and four-manifold topology. His office is located in the Hill Center for Mathematical Sciences (Room 708). Research Interests: Feehan's work spans differential geometry, Yang-Mills theory, harmonic maps, and geometric flows. Key themes include the analysis of moduli spaces, Morse-Bott theory, Lojasiewicz-Simon inequalities, and connections between Donaldson-Seiberg-Witten invariants. He frequently employs analytical methods to solve problems in low-dimensional topology and mathematical physics. Publications: His recent articles (2013–2024) focus on gauge theory, geometric PDEs, and singularity resolution. Common topics include Yang-Mills connections, monopole cobordisms, and applications of Morse theory to geometric analysis, reflecting a consistent emphasis on bridging analysis, geometry, and topology. Academic Leadership: Feehan co-organizes seminars including the Geometric Analysis Seminar and the Mathematical Finance/Probability/PDEs Seminar. He has co-directed conferences such as the Geometric Analysis Mini-courses and Workshop (2015–2016) and the AMS Fall Sectional Meeting Special Session (2015).

Manaf MANAFLIView profile

Professor

• Spectral Analysis
• Differential Operators
• Sturm-Liouville Equations
• +3 more

Manaf MANAFLI is a Professor and Department Head in the Department of Mathematics at Adıyaman University's Faculty of Arts and Sciences. He has held this position since 2011 after serving as an Associate Professor at the same institution since 2008. Previously, he worked at Gaziantep University (2004-2007) and spent nearly two decades at the Institute of Mathematics and Mechanics of the Azerbaijan Academy of Sciences. Bachelor's and Master's: Azerbaijan State University (Baku State University), Faculty of Mechanics and Mathematics (1975-1980) PhD in Physics and Mathematics: Azerbaijan State University (1987) Professor MANAFLI specializes in the spectral properties of differential and difference operators with generalized function coefficients. His research focuses on Sturm-Liouville equations with delta and delta-prime interactions, inverse spectral problems, and the analysis of operators with singular potentials. His work bridges pure mathematics with applications in mathematical physics, particularly in understanding quantum systems with point interactions. His extensive publication record demonstrates a consistent focus on spectral theory and inverse problems for differential operators with singular potentials. Over the past decade, his research has increasingly addressed energy-dependent Sturm-Liouville equations and discrete analogues of continuous problems, reflecting a trend toward more complex operator structures and their spectral properties. Professor MANAFLI has received recognition including the title of Chief Scientific Expert from the High Attestation Commission of the Presidency of Azerbaijan (1994). His editorial work includes serving as editor for Fundamentals of Contemporary Mathematical Sciences and Adıyaman University Journal of Sciences. As Department Head since 2011 and Dean since 2019, Professor MANAFLI has supervised numerous graduate students and led research projects including "Spectral Problems for Integro-Differential Equations with Delta Interactions on Finite Ranges" (2017) and "Investigation of Spectral Properties of Differential and Difference Operators with Generalized Function Coefficients" (2009-2011). He actively contributes to the mathematical community through editorial work and as a reviewer for multiple international journals including Transactions of NAS of Azerbaijan, Filomat, and Numerical Functional Analysis and Optimization.

Selcen YÜKSEL PERKTAŞView profile

Professor

• Differential Geometry
• Riemannian Geometry
• Manifold Theory
• +3 more

Selcen YÜKSEL PERKTAŞ is a Professor at Adıyaman University, Faculty of Arts and Sciences, Department of Mathematics. She previously held positions as Associate Professor (2015-2021), Assistant Professor (2012-2015), and has served in various administrative roles including Vice Rector (2023-present), Dean (2022-2023), and Head of Department (2021 and 2012-2021). Education: PhD from İnönü University (2011), Master's from İnönü University (2005), BSc from Hacettepe University (2002) Current Position: Professor, Adıyaman University, Faculty of Arts and Sciences, Department of Mathematics Administrative Roles: Vice Rector (2023-present), Dean (2022-2023), Head of Department (2021 and 2012-2021), Bologna Coordinator (2015-2022), Farabi Coordinator (2013-2022) Professor YÜKSEL PERKTAŞ specializes in Differential Geometry, with research focusing on Manifold Theory , Submanifold Theory , Lightlike Geometry , and Paracontact Geometry . Her work explores the geometric properties of various structures including Lorentzian para-Sasakian manifolds, warped product manifolds, and lightlike submanifolds. She is a member of the Association of Geometricians and has published extensively in international journals, with over 60 articles to her name. Her research has significant implications for theoretical mathematics and its applications in physics. Her recent publications (2022-2024) demonstrate a continued focus on specialized topics within differential geometry, particularly examining lightlike submanifolds, metallic structures, and various types of manifolds with special connections. The analysis of her work shows a consistent trajectory of increasingly sophisticated geometric investigations, with recent papers exploring sequential warped product manifolds, meta-metallic structures, and f-harmonic transformations. Areas of Interest: Theory of Manifolds and Submanifolds, Lightlike Geometry Areas of Expertise: Biharmonic Transformations, Lorentzian para-Sasakian Manifolds and Submanifolds, Indefinite nearly paracontact manifolds Professor YÜKSEL PERKTAŞ has supervised numerous graduate students through specialized field courses and seminars. She has served as an editor for the Adıyaman University Journal of Science and has been a reviewer for several international mathematics journals. Her administrative leadership as Vice Rector, Dean, and in various coordination roles demonstrates her significant contributions to the academic community beyond her research accomplishments. She teaches courses including Differential Geometry, Analytical Geometry, Riemann Geometry, Differentiable Manifolds, and Statistics and Probability at both undergraduate and graduate levels.

Hasan KARAView profile

Lecturer

• Sequence spaces
• Invariant convergence
• Statistical convergence
• +3 more

Hasan KARA is a Dr. Lecturer in the Department of Mathematics, Faculty of Arts and Sciences at Iğdır University, Turkey. With nearly three decades of service, he specializes in classical sequence-space theory, summability methods and functional analysis. Education: Ph.D. in Mathematics, Yüzüncü Yıl University, 1992-1995 (Thesis: Sequence spaces defined by invariant convergence) M.Sc. in Mathematics, Yüzüncü Yıl University, 1990-1992 (Thesis: Transformations in sequence spaces) B.Sc. in Mathematics, Atatürk University, 1982-1986 Research Interests: Dr. Kara’s scholarly work centers on sequence spaces defined through invariant convergence , Orlicz functions , statistical convergence and matrix transformations . His studies explore topological and algebraic properties of new sequence spaces, inclusion relations, dual spaces and matrix mappings between them, contributing to the broader field of summability theory and functional analysis. Publication Profile: Analyzing his nine refereed papers published between 1994 and 2021, one observes a sustained focus on constructing and characterizing sequence spaces that generalize absolute and strong convergence via invariant means, Cesàro methods, modulus functions and Orlicz growth functions. This corpus advances the classification and applicability of summability techniques in functional analysis. Thesis Supervision & Teaching: He has supervised more than ten master’s theses on sequence spaces, matrix transformations and stability of functional equations. He regularly teaches advanced courses such as Limitation Methods I-II , Complex Analysis I-II and Theory of Complex Functions at both graduate and undergraduate levels. Laboratory & Teams: No dedicated research laboratory or formal team affiliation is reported; his work is theoretical and conducted within the Analysis and Theory of Functions division of the mathematics department.

Brent NelsonView profile

Associate Professor

• Free Probability
• Operator Algebras
• Von Neumann Algebras
• +3 more

Brent Nelson is an Associate Professor in the Department of Mathematics at Michigan State University (MSU). He holds a PhD in Mathematics from the University of California, Los Angeles (UCLA), under the supervision of Dimitri Shlyakhtenko, and a BS in Mathematics from the University of Illinois at Urbana-Champaign (UIUC). His research focuses on free probability, non-tracial von Neumann algebras, free transport, subfactor planar algebras, and bi-free probability. He has held postdoctoral positions at Vanderbilt University and the University of California, Berkeley, and has been recognized with awards including the Pacific Journal of Mathematics Dissertation Prize (2015) and the Distinguished Teaching Award (2018). Key research interests include the structure of von Neumann algebras, free monotone transport, and applications to quantum graphs and operator algebras. He has authored numerous publications in top-tier journals and presented at international conferences such as the Canadian Operator Symposium and the Banff International Research Station workshops. His teaching includes advanced courses on functional analysis, operator algebras, and real/complex analysis at MSU and other institutions. Grants include NSF funding for projects on non-tracial derivations and distributions, and he has organized conferences like the Groundwork for Operator Algebras Lecture Series (2020). His work bridges abstract operator algebra theory with applications in quantum probability and ergodic theory.

Benjamin I SchmidtView profile

Professor

• Riemannian Geometry
• Geometric Dynamics
• Rigidity Theory
• +3 more

Benjamin I Schmidt is a Professor in the Department of Mathematics at Michigan State University (MSU), located within the College of Natural Science. His research focuses on Riemannian geometry, geometric dynamics, and rigidity theory, with recent work emphasizing the rigid aspects of curvature profiles on low-dimensional manifolds. He holds a PhD in Mathematics from the University of Michigan (2006). His research has explored topics such as geometric structures and spectral properties, curvature homogeneity, and the classification of manifolds through geometric invariants. Notable contributions include studies on isospectral manifolds, geodesic properties, and the interplay between curvature and manifold topology. His publications span over 15 years, addressing diverse areas like metric foliations, hyperbolic and positively curved manifolds, and applications of spectral geometry. Recent work includes collaborations on curvature preservation, geometric rigidity, and the characterization of spheres through geodesic behavior. His research has been published in top journals such as Geom. Dedicata, Trans. Amer. Math. Soc., and Comment. Math. Helv.