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Gregory Sankaran

Prof

  • 4 WEST 5.16

20002018
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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 2018

Research Output 2000 2018

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

Fundamental groups of toroidal compactifications

Kasparian, A. K. & Sankaran, G. K., 9 Nov 2018, In : Asian Journal of Mathematics. 22, 5, p. 941-954 13 p.

Research output: Contribution to journalArticle

Open Access
File
Locally Symmetric Spaces
Hermitian Symmetric Spaces
Betti numbers
Compactification
Fundamental Group

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

Malaspina, F. & Sankaran, G. K., 2 Apr 2018, In : Journal of Algebra and its Applications.

Research output: Contribution to journalArticle

Open Access
File
Castelnuovo-Mumford Regularity
Weighted Spaces
Projective Space
3 Citations (Scopus)

Hyperelliptic genus 4 curves on abelian surfaces

Borówka, P. & Sankaran, G. K., 1 Dec 2017, In : Proceedings of the American Mathematical Society. 145, 12, p. 5023–5034

Research output: Contribution to journalArticle

Open Access
File
Abelian Surfaces
Genus
Curve
Hyperelliptic Curves
File
programming
mathematics
Teaching
computer scientist
student

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