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Homepage of Jayan Mukherjee
Department of Mathematics
University of Kansas
1460 Jayhawk Blvd
Lawrence, Kansas 66045-7567
I am a math PhD student at KU. I work on Algebraic Geometry. My advisor is Professor Purnaprajna Bangere.
I received my B.Sc. and M.Sc. from
Chennai Mathematical Institute
557 Snow Hall
I am interested in Algebraic Geometry. My research so far involves
Effective very ampleness, projective normality and higher syzygies of higher dimensional varieties of general type
Deformation theory of finite morphisms with applications to
describing the geometry of moduli spaces of varieties of general type by characterising the generic behaviour of canonical morphisms
construction of low codimension subvarieties and non-split vector bundles on a projective space
Geometry of moduli stacks of finite covers and computing their invariants
Publications and preprints
On the projective normality and normal presentation of higher dimensional varieties with nef canonical bundle
(with D. Raychaudhury) (J. Algebra 540 (2019), 121--155.)
Remarks on projective normality for certain Calabi-Yau and hyperk\"ahler varieties
(with D. Raychaudhury) (J. Pure Appl. Algebra 224 (2020), no. 10, 106383)
Smoothing of multiple structures on embedded Enriques' manifolds
(with D. Raychaudhury) (submitted)
K3 carpets on minimal rational surfaces and their smoothing (submitted)
(with P. Bangere, D. Raychaudhury)(submitted)
Deformation of morphisms, varieties of low codimension and asymptotic limits
(with P. Bangere, F.J. Gallego, D. Raychaudhury)(Preprint)
Deformation of quadruple Galois canonical covers (with P. Bangere, F.J. Gallego, D. Raychaudhury) (Preprint)
Talks and Posters :
Research talk: Algebraic Geometry Seminar, University of Kansas, On the Projective Normality and Normal Presentation of Higher Dimensional Varieties with Nef Canonical Bundle
Research talk: Algebraic Geometry Seminar, University of Kansas, Remarks on projective normality for certain Calabi-Yau and hyperkähler varieties
Research talk (Preparatory): Algebraic Geometry Seminar, University of Kansas, Formal deformations and algebraization.
Research talk: Algebraic Geometry Seminar, University of Kansas, Deformations of Quadruple Galois Canonical Covers.
Poster Presentation: Western Algebraic Geometry Symposium, University of Utah, Smoothing of multiple structures on embedded Enriques manifolds.
Research talk: MAGGC, University of Illinois at Chicago, Deformations of Quadruple Galois Canonical Covers.
I am teaching Math 127 (Calculus III) this semester. (Fall 2020)