Photo of Gregory Sankaran

Gregory Sankaran

Prof

  • 4 WEST 5.16

20002021
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Personal profile

Research interests

I do research in algebraic geometry and some related areas of pure mathematics. Most of my research is concerned with the geometry of moduli spaces and their compactifications. It is possible to use ideas and techniques from number theory (modular forms especially) and algebraic topology to control the geometric behaviour of moduli spaces, and I have been studying this in relation to moduli of abelian varieties, K3 surfaces and hyperkahler manifolds. The geometry associated with those varieties themselves is therefore also of interest to me.

The compactifications I work with are mostly toroidal compactifications and much of my research is directed towards finding new ways to exploit the flexibility of this construction. This leads to questions on such matters as birational geometry, Hodge theory and symmetric spaces, as well as toric geometry.

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Moduli Space Mathematics
Orthogonal Group Mathematics
Fundamental Group Mathematics
Abelian Surfaces Mathematics
Compactification Mathematics
Modulus Mathematics
Symplectic Manifold Mathematics
K3 Surfaces Mathematics

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Projects 2007 2021

Research Output 2000 2019

On Benefits of Equality Constraints in Lex-Least Invariant CAD (Extended Abstract

Nair, A. S., Davenport, J. & Sankaran, G., Sep 2019, Proceedings SC2 2019. 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
2 Downloads (Pure)

Regular cylindrical algebraic decomposition

Davenport, J., Locatelli, A. & Sankaran, G., 29 Jul 2019, In : Journal of the London Mathematical Society.

Research output: Contribution to journalArticle

Open Access
File

Teaching of computing to mathematics students: Programming and discrete mathematics

Betteridge, J., Davenport, J. H., Freitag, M., Heijtljes, W., Kynaston, S., Sankaran, G. & Traustason, G., 9 Jan 2019, Proceedings of the 3rd Conference on Computing Education Practice, CEP 2019. Association for Computing Machinery, 12

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Downloads (Pure)

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

Malaspina, F. & Sankaran, G. K., 28 Feb 2019, In : Journal of Algebra and its Applications. 18, 2, 15 p., 1950028.

Research output: Contribution to journalArticle

Open Access
File
Castelnuovo-Mumford Regularity
Weighted Spaces
Projective Space

Fast matrix operations in computer algebra

Tonks, Z., Sankaran, G. & Davenport, J. H., 9 Nov 2018, Proceedings - 2017 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2017. Ida, T., Jebelean, T., Petcu, D., Watt, S. M., Negru, V. & Zaharie, D. (eds.). IEEE, p. 67-70 4 p. 8531267

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Datasets

Data for 'Fast Matrix Operations in Computer Algebra'

Tonks, Z. (Creator), University of Bath, 13 Dec 2017

Dataset

Thesis

Computations and bounds for surfaces in weighted projective four-spaces

Author: Rammea, L., 1 Oct 2009

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Irreducible holomorphic symplectic manifolds and monodromy operators

Author: Onorati, C., 22 Nov 2018

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Moduli of deformation generalised Kummer manifolds

Author: Dawes, M., 2 Mar 2016

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Non-simple abelian varieties and (1; 3) Theta divisors

Author: Borowka, P., 21 Nov 2012

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

On the degenerations of (1,7)-polarised abelian surfaces

Author: Marini, A., 1 Jan 2002

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File