Find Academic Supervisors

• Differential Geometry
• Geometry and Topology
• Several Complex Variables and Analytic Spaces
• +7 more

Oscar Macia Juan is an Associate Professor in the Department of Mathematics at the University of Valencia, affiliated with the Faculty of Mathematics. He is a member of the Geometric Analysis Group U.V. (GAGUV), focusing on advanced topics in differential geometry and mathematical physics. His research interests span Differential Geometry , Geometry and Topology , Several Complex Variables and Analytic Spaces , and their applications in Special Geometry , Supersymmetry , and Harmonic Mappings . His work bridges pure mathematics and theoretical physics, particularly in the context of supersymmetric field theories and supergravity. The recent publications highlight a consistent focus on geometric structures arising from theoretical physics, such as the c-map, quaternionic Kähler geometry, and harmonic mappings into quadrics. The research trend shows a deep engagement with moduli spaces, isometric embeddings, and the interplay between hyper-Kähler and quaternionic Kähler geometries, often in relation to supersymmetry. No scientific awards were mentioned in the provided texts. He earned his PhD from the University of Valencia in 2007 with a thesis on deformations and contractions in supersymmetric field theories and supergravity, supervised by Dr. María Antonia Lledó Barrena. There is no information available on students he may have advised or research grants he has led. Oscar Macia Juan is actively involved in research collaborations, with co-authors including Andrew Swann, Yasuyuki Nagatomo, and Sergio Ferrara, contributing to high-impact journals in geometry and mathematical physics.

Andrew DykstraView profile

Professor

• Dynamical Systems
• Symbolic Dynamics
• Ergodic Theory

Andrew Dykstra is a Professor of Mathematics at Hamilton College, where he has been a faculty member since 2009. He currently serves as Associate Chair of the Department of Mathematics and Statistics. Dykstra’s research focuses on dynamical systems, with particular emphasis on symbolic dynamics and ergodic theory. His work explores structural equivalences in dynamical systems and applications to mathematical modeling. Education: Ph.D. in Mathematics from the University of Maryland and a B.A. in Mathematics from Carleton College (magna cum laude, 2001). Research Interests: Dykstra’s research lies at the intersection of symbolic dynamics and ergodic theory, investigating properties of dynamical systems through combinatorial and topological methods. His recent publications highlight advances in Bratteli diagrams, substitution systems, and Kakutani equivalence, reflecting a focus on theoretical frameworks and computational complexity in dynamical systems. Scientific Awards: Dykstra has received multiple teaching and research accolades, including the John R. Hatch Excellence in Teaching Award (2012), a VIGRE Dissertation Fellowship (2005), and the Goldhaber Travel Grant (2005). He was also recognized for graduate teaching excellence at the University of Maryland (2006, 2002) and as a Distinguished Teaching Assistant (2007). Advising and Institutional Contributions: He has served on numerous committees at Hamilton College, including the Committee on Admission and Financial Aid, Quantitative and Symbolic Reasoning Advisory Committee, and Harassment and Sexual Misconduct Board. Dykstra has advised over 150 senior theses since 2010, mentored clubs like the Chess Club and Bridge and Pinochle Club, and participated in curriculum development and faculty governance.

• Differential Geometry
• Noncommutative Geometry
• Lie Algebras
• +3 more

Henrik Winther is a Research Fellow at the UiT The Arctic University of Norway , affiliated with the Department of Mathematics and Statistics . His research focuses on differential geometry, noncommutative geometry, and the interplay between Lie algebras and geometric structures. Research Groups: Geometry and Mathematical Physics , MASCOT Projects: Cost Action CALISTA Winther’s research explores highly symmetric geometric configurations, including spin representations , para-complex structures , and quaternionic Hermitian geometries . His work often involves classifying structures via Lie algebraic methods and analyzing integrability conditions in noncommutative settings. Key trends in his publications include studies of 6-dimensional manifolds with non-degenerate tensors, projective orbits in semi-simple Lie groups, and invariant connections on isotropy irreducible spaces . Collaborators include Boris Kruglikov and Ioannis Chrysikos .

Kyler SiegelView profile

Assistant Professor

• Symplectic Geometry
• Algebraic Geometry
• Differential Geometry
• +7 more

Kyler Siegel is an Assistant Professor in the Department of Mathematics at the University of Southern California, with a visiting appointment at Seoul National University until 2024. Previously, he held positions as a Ritt Assistant Professor at Columbia University, an NSF Postdoctoral Research Fellow at Columbia (2017–2019) and MIT (2016–2017), and was a Member at the Institute for Advanced Study in Fall 2021. His research focuses on symplectic geometry , bridging smooth topology, differential geometry, algebraic geometry, and mathematical physics. Key interests include pseudoholomorphic curve invariants (Floer theory, symplectic field theory), quantitative symplectic phenomena, and interactions with algebraic geometry (e.g., singular curves, Hamiltonian flows). He has been supported by NSF grants (DMS-2506639, DMS-2533874, DMS-2105578) and a Simons Foundation Travel Award. Notable achievements include solving stabilized symplectic embedding problems, developing ellipsoidal superpotential frameworks, and advancing techniques for singular curve counts. He has advised REU students on projects like numerical symplectic embeddings using machine learning. Teaching includes advanced courses on differential geometry and symplectic methods, with past roles in mentoring workshops and conferences (e.g., Symplectothon 2024). His work also extends to interdisciplinary projects, such as the PuzzleCluster algorithm for metagenomics data analysis.

Nikolay Stoyanov KaleyskiView profile

Associate Professor

• Cryptographic Boolean Functions
• APN Functions
• Finite Fields
• +4 more

Nikolay Stoyanov Kaleyski is an Associate Professor at the Department of Informatics, University of Bergen. His research focuses on cryptographic Boolean functions, particularly APN (Almost Perfect Nonlinear) functions and their applications in symmetric cryptography. He explores algorithm design for function analysis and hardware architectures for efficient cryptographic implementations. He has taught courses including Advanced Cybersecurity (INF249), Applied Cryptography (INF143A), and Information Theory (INF242) across multiple semesters. His research interests include the construction, classification, and properties of Boolean functions with optimal cryptographic criteria. He investigates hardware-friendly implementations of APN permutations and contributes to understanding equivalence relations among functions (EA/CCZ-equivalence). Notable work includes studies on planar functions in finite fields and low-complexity hardware architectures using TU-decomposition. Publications span topics like APN function generalizations, 0-APN monomials, and partial APN properties. Collaborations with institutions like the Naval Postgraduate School and Sungkyunkwan University highlight his international research network. His doctoral dissertation (2021) deepened insights into longstanding APN-related problems.

Scott HarperView profile

Assistant Professor

• Group Theory
• Representation Theory
• Geometric Group Theory
• +5 more

Dr. Scott Harper is an Assistant Professor in the School of Mathematics at the University of Birmingham and a 125th Anniversary Fellow. His research focuses on group theory, with grants from EPSRC and Leverhulme. He holds a PhD from the University of Bristol (2019) and MMath from the University of St Andrews (2015). Research Interests: Group theory, including generating sets, subgroup structures, derangements, and their connections to representation theory, geometric group theory, Lie theory, and combinatorics. Also interests in proof formalisation, mathematics education, and the philosophy of mathematical practice. Publications: Recent work includes studies on Kronecker classes, normal coverings, and minimal cover groups. His research emphasizes symmetry and its applications in finite and infinite groups. Awards: Gold Medal at STEM for Britain (2021), EPSRC Postdoctoral Fellowship, Leverhulme Early Career Fellowship. Grants & Teaching: Funded by EPSRC and Leverhulme. Previously taught at University of St Andrews and University of Bristol, focusing on advanced group theory and LaTeX for mathematics.

• 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.

• Differential Geometry
• Algebraic Geometry
• Complex Manifolds
• +3 more

Andrea Cattaneo is a Professor at the University of Parma, affiliated with the Department of Mathematical, Physical, and Computer Sciences. He teaches courses such as Geometry and Algebra (Computer Technologies Engineering, 2021–2025), Geometry 2 (Mathematics, 2022–2025), and Geometry 3 (Mathematics, 2023–2025). His research focuses on Differential Geometry and Complex Manifolds , with particular emphasis on Kähler and almost-Kähler structures , Kodaira dimension in non-Kähler settings , and geometric properties of solvmanifolds and Calabi-Yau manifolds . Recent work explores Lefschetz-type phenomena in elliptic Calabi-Yau fibrations and primitive decompositions of Dolbeault harmonic forms. His publications span topics in Algebraic Geometry and Mathematical Physics , often intersecting with problems in symplectic geometry and manifold topology. No scientific awards or student advising details were explicitly listed in the provided data.

• Differential Geometry
• Complex Geometry
• Geometric Flows
• +3 more

Francesco Pediconi is a Fixed-term tenure-track assistant professor at Politecnico di Torino, Italy, affiliated with the Department of Mathematical Sciences (DISMA) and the Functional Analysis and Differential Geometry research group. His academic rank is Assistant Professor (Ricercatore a tempo determinato di tipo B), with contact email francesco.pediconi@polito.it. His research focuses on: Differential Geometry, particularly non-Kähler Hermitian structures and pluriclosed manifolds Geometric flows including Ricci flow and Hermitian curvature flow on homogeneous spaces Analysis of locally homogeneous Riemannian spaces and convergence properties Partial differential equations on manifolds with boundary conditions Analysis of his recent publications reveals a concentrated effort in non-Kähler complex geometry, evidenced by 2024 works on pluriclosed flow with Vaisman conditions and parallel Bismut torsion. His 2023-2021 output demonstrates significant contributions to Ricci flow dynamics on homogeneous spaces, including toral symmetries and collapsed ancient solutions, alongside foundational studies on locally homogeneous spaces. The recurring themes involve geometric evolution equations intersecting with complex structures and curvature constraints. No scientific awards were documented in the provided sources. Information regarding doctoral/master's students or research grants was not specified in the available materials. He actively participates in the Functional Analysis and Differential Geometry research group at DISMA, which drives collaborative work in advanced geometric analysis and its applications.

Rik SenguptaView profile

Part-Time Lecturer

• Graph Theory
• Algorithms
• Fair Allocation
• +3 more

Rik Sengupta is a Part-Time Lecturer at the University of Massachusetts Amherst, located in the Lederle Graduate Research Center. His research focuses on graph theory, algorithms, combinatorics, and fair allocation mechanisms. He has contributed to theoretical computer science, discrete mathematics, and algorithmic economics. His work spans dynamic graph streaming algorithms, fair division under structured constraints, and optimization problems with fairness metrics. He also explores graph reconstruction techniques, quantifier complexity in boolean functions, and Ramsey theory applications. Recent publications highlight trends in graphical allocation models, probabilistic graph analysis, and algorithmic solutions for resource distribution challenges. Notable areas include EFX allocations over graphs, time-aware fairness in knapsack problems, and approximation algorithms for housing markets. Rik holds no explicitly listed academic awards or grants. His advising activities are not detailed in the provided texts. He is affiliated with computational theory research groups but no specific labs or teams are mentioned.

• Algebraic K-theory
• Algebraic Number Theory
• Algebraic Geometry
• +3 more

Prof. Oliver Bräunling is a full professor at the Department of Mathematics, Albert-Ludwigs-Universität Freiburg, leading the Chair of Algebra and Geometry (Lehrstuhl für Algebra und Geometrie). His research focuses on algebraic K-theory, algebraic number theory, and representation theory, with significant contributions to homological algebra and category theory. He earned his PhD in Mathematics from the same university in 2012 and completed his habilitation in 2018. Bräunling actively advises three PhD students: Julius Giesler, Lennart Gehrmann, and Tobias Columbus. He received the prestigious DFG Heisenberg Fellowship in 2022. His research explores intricate connections between algebraic structures and geometric/topological concepts, with recent work emphasizing derived categories, model categories, and Langlands program aspects. Over 15 key publications from 2009–2023 reflect his expertise in advanced algebraic methodologies. Bräunling teaches graduate courses in algebra and co-organizes the university's algebra seminar. He collaborates with international research networks and serves on editorial boards for specialized journals.

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

Daniele Zuddas is an Associate Professor at the University of Trieste, specializing in Complex Geometry and Differential Geometry. His research focuses on geometric topology, differential geometry, complex geometry, and low-dimensional topology. He has contributed to studies on 4-manifolds, branched coverings, contact geometry, and non-Kähler complex structures. His work often intersects algebraic geometry and symplectic geometry, with notable contributions to Lefschetz fibrations and topological certification of manifolds. Recent publications explore exotic 4-manifolds, Stiefel parallelizability, and holomorphic fillings of contact manifolds. Co-authors include prominent researchers such as Valentina Bais, Naohiko Kasuya, and Riccardo Piergallini. Zuddas has published in esteemed journals like the Journal of the London Mathematical Society, Geometry & Topology, and the Proceedings of the London Mathematical Society. His research bridges pure mathematics disciplines, emphasizing geometric constructions and topological invariants.

Annamária FRIEDLView profile

Assistant Professor

• Complex Finsler Geometry
• Generalized Finsler Metrics
• Deformation of Complex Finsler Metrics

Dr. Annamária FRIEDL is an Assistant Professor in the Department of Mathematics and Computer Science at Transilvania University of Brașov's Faculty of Mathematics and Computer Science. Her office is located in Building P (Room PP4) at Str. Iuliu Maniu nr. 50, Brașov, Romania. She can be contacted via email at szasz.annamaria@unitbv.ro. Research Focus Her primary research explores specialized areas of differential geometry, including: Complex Finsler Geometry : Investigating geometric structures on complex manifolds with Finsler metrics Generalized Metrics : Analysis of Beil metrics and their applications in complex spaces Metric Deformations : Studying variations and transformations of Finsler metrics Publication Trends Dr. FRIEDL's scholarly output demonstrates evolving research trajectories. Early work (2012-2015) established foundations in complex Finsler spaces, Beil metrics, and quaternionic structures. Recent publications (2018-2025) show expansion into spacetime geometry and cosmological applications, including Landsberg-Finsler metrics and connections to kinetic gas theories. Her work consistently bridges pure mathematics with theoretical physics frameworks.

Simon SalamonView profile

Professor

• Differential Geometry
• Algebraic Geometry
• Topology
• +10 more

Simon Salamon is a Professor of Geometry at King's College London, joining in 2011. Previously, he held a professorship at the Politecnico di Torino (2000–2011) and lecturing roles at the University of Oxford and Imperial College London. He is an emeritus fellow of Trinity College, Oxford, and served as Head of the Mathematics Department at King's College London (2013–2017). His research focuses on differential geometry, algebraic geometry, and topology, with an emphasis on manifolds, Lie group actions, and Ricci-flat metrics within the Simons Collaboration on Special Holonomy. Key research areas include exceptional holonomy, twistor geometry, almost complex manifolds, harmonic maps, and spinor theory. He has contributed to projects on G 2 and Spin(7) structures, quaternionic geometry, and mathematical software visualization. Recent work includes studies on 3-Sasakian structures, flag manifold twistor geometry, and Horrocks bundles in quantum information theory. He has supervised multiple research projects, including collaborations on Ricci-flat metrics and cohomogeneity-one manifolds. His work appears in journals like the Journal of Differential Geometry and Mathematische Zeitschrift . Notable contributions include the study of nilmanifolds, combinatorial geometry, and applications to theoretical physics through the Simons Foundation collaboration.

• Algebra
• Number Theory
• Lie Algebras
• +3 more

Assoc. Prof. Dr. Nil MANSUROĞLU is a faculty member at the Faculty of Arts and Sciences , Kırşehir Ahi Evran Üniversitesi , Türkiye, specializing in Algebra and Number Theory . Her research focuses on Leibniz algebras, Lie algebras, finite groups, and their derivations. Post Doctoral Degree: Universita Degli Studi Di Salerno , Italy (2016-2017) PhD: University of Manchester , England (2010-2014) MSc: University Of Manchester , England (2009-2010) MSc: Çukurova University , Turkey (2006-2009) BSc: Ankara University , Turkey (1997-2001) Her research explores structure constants , periodic derivations , and element order properties in finite groups. She investigates combinatorial structures related to Lie algebras and Leibniz algebras, including their dimensional analysis and homogeneity. The 15 most recent publications reveal a focus on Leibniz algebras , Lie algebras , and finite group theory , with keywords spanning structure constants, derivations, and commutator properties. Subfields include periodic derivations, soft intersection algebras, and applications of Grobner bases. She has advised 10 master's students, including Hatice Diremci Narin and Duygu Yaman , and collaborated internationally with researchers like Ralph Stöhr (UK) and Antonio Tortora (Italy). Her editorial roles include editing journals such as Galios Journal of Algebra and Pure and Applied Mathematics Journal .