Prof. dr. G.R. (Gil) Cavalcanti

Prof. dr. G.R. (Gil) Cavalcanti

Professor
Fundamental Mathematics
Academic Director
Mathematical Institute
+31 30 253 1512
g.r.cavalcanti@uu.nl

For copies of the theses of master and bachelor students, visit the university repository.

 

PhD students


Master students

  • Fije de Monchy. Kirby calculus and decomposition of 4-manifolds. Ongoing.
  • Andrea Wiendels. Kirby calculus and variations of symplectic manifolds. Ongoing.
  • Tom Stumpe. Symplectic Hodge Theory. Ongoing.
  • Tomas Koekoek (joint supervision with Stefan Vandoren). T-duality, freely acting orbifolds and broken supersymmetry. Ongoing.
  • Lars van Eekeren. Elliptic operators and Hodge theory on manifolds with boundary. Ongoing.
  • Jesse Straat (joint supervision with Thorsten Schimannek), Gromov–Witten Invariants, Topological Strings and Mirror Symmetry, Master in Mathematics and Physics, 2025.
  • Cisca Kalmijn (joint supervision with Thorsten Schimannek), Gromov–Witten Invariants and Quantum Cohomology: Using Symplectic and 2d Topological Field Theoretic Methods, Master inMathematics and Physics, 2025.
  • Bart Heemskerk (joint supervision with Erik Plauschinn), Non-abelian T-duality and Applications in String Theory, Master in Mathematics and Physics, 2024.
  • Luuk Lagendijk (joint supervision with Thomas Grimm), On the connection between Hodge theory and integrable systems, Master in Mathematics and Physics, 2024.
  • Alex Fleuren (joint supervision with Niels Martens), Another critical look at inflationary cosmology, Master in Mathematics and Philosophy of Science, 2024.
  • Jaime Pedregal Pastor (joint supervision with Roberto Rubio), Berger’s Holonomy Theorem, and a first incursion into Lie algebroid holonomy, Master in Mathematics, 2023.
  • Jeroen Grimbergen (joint supervision with Henk Stoof), Topological Classification of Insulators without and with Time-Reversal Symmetry, Master in Mathematics and Physics 2023.
  • Tom Vredenbregt (joint supervision with Thomas Grimm), Calabi–Yau manifolds, Master in Mathematics and Physics 2023.
  • Bas Wensink (joint supervision with Thomas Grimm), Calabi–Yau manifolds, Master in Mathematics and Physics 2023.
  • Pepin de Maat (joint supervision with Erik Laenen), Twisted Cohomology and Feynman Integrals, Master in Mathematics and Physics 2022.
  • Mick van Vliet (joint supervision with Thomas Grimm), Tame Geometry and the String Landscape, Master in Mathematics and Physics 2022.
  • Oscar Eigenraam (joint supervision with Christopher Couzens), Generalized geometry as a model for heterotic string theory, Master in Mathematics and Physics 2021.
  • Santiago Quintero de los Rios, The Seiberg–Witten equations, Master in Mathematics, 2020.
  • Paris Tzitzimpasis (joint supervision with Thomas Grimm), M -theory backgrounds with torus actions and brane–anti-brane systems, Master in Mathematics and Physics, 2020.
  • Ruben Meijs (joint supervision with Thomas Grimm), Machine learning the enhancement chains arising by degenerating Calabi–Yau manifolds, Master in Mathematics and Physics, 2020.
  • Anna Sisak, Heterotic Courant algebroids and T-duality, 2019.
  • Harm Backs (joint supervision with Thomas Grimm), Describing anti-branes in F-theory using Lefschetz fibrations, 2018.
  • Bjarne Kosmeijer, Formality and geometric structures, 2018.
  • Andries Salm (joint supervision with Eric Laenen),  Anomalies and the Atiyah--Singer index theorem, 2018.
  • Huibert het Lam (joint supervision with Tomislav Prokopec), Singularities in space time with torsion, 2016.
  • Jan-Willem Tel, Lefschetz fibrations and symplectic structures, 2015.
  • Kirsten Wang, Generalized complex geometry and blow-ups, 2014.
  • Reinier Storm, The Yang--Mills moduli space and the Nahm transform, 2013.
  • Ralph Klaasse, Seiberg--Witten theory for symplectic manifolds, 2013.
  • Joost Broens (joint supervision with Stefan Vandoren), Instantons and electric-magnetic duality on del Pezzo surfaces, 2013.
  • Bram Bet (joint supervision with Stefan Vandoren), Electromagnetic duality, del Pezzo surfaces and instantons, 2013.
  • Joey van der Leer Duran (joint supervision with Stefan Vandoren), Supersymmetric sigma models and generalized complex structures, 2012.


Undergraduate students

  • Tom Willems, Newton's method and the inverse function theorem. Ongoing.
  • Dries van de Bult (joint supervision with Henk Stoof), Bulk-boundary correspondence for one dimensional topological superconductors, 2025
  • Max Willems (joint supervision with Henk Stoof), Bulk-boundary correspondence in the Kitaev chain, 2025.
  • Richard van Zandvoort (joint supervision with Valentina Errani and Rembert Duine), Magnetism on a curved wire as a basis for memory, 2024.
  • Emma Nooren (joint supervision with Stefan Vandoren), Geometry of Black Holes 2023.
  • Michiel van Eshof (joint supervision with Tomislav Prokopek),Response of scalar electrodynamics on planar gravitational fields, 2022.
  • Faas van der Veen (joint supervision with Tomislav Prokopek), Noether’s Theorem and Conformally Invariant Gauge Fields, 2022.
  • Teun Kluck (joint supervision with Thomas Grimm), Kaluza-Klein reductions on five dimensional action principles, 2022.
  • Samuel Klumpers (joint with Prof. Lars Fritz), Applications of homotopy theory to topological solitons, 2021.
  • Michiel Horikx (joint with Prof. Lars Fritz), Topological classification of defects in ordered media, 2021.
  • Wijnand Steneker, Hamiltonian torus actions on symplectic manifolds, 2020.
  • Artim Bassant, An introduction to geometric quantization, 2020.
  • Mees Jager, How to juggle the proof of every theorem, 2020.
  • Wilmer Smilde, The Hodge decomposition theorem: An alternative approach, 2018.
  • Lay de Jong, The Gauss--Bonnet theorem for surfaces, 2018.
  • Joost van Greffen, Riemannian geometry,  2017.
  • Andries Salm, The Gauss–Bonnet Theorem,  2015.
  • Rik Voorhaar,Exotic differential structures on the 7-sphere 2015.
  • Aldo Witte, Axiomatic sheaf cohomology theories 2015.
  • Lauran Toussaint, The Hodge decomposition theorem,  2013.
  • Jeemijn Sheen, The Hodge decomposition theorem on compact Kahler manifolds,  2013.
  • Kirsten Wang, Cohomology theories 2012.