Research Profile

Andrei Mustata

Biography

Research Interests

My main research area is algebraic geometry. I am particularly interested in moduli spaces, intersection theory, geometric invariant theory, Chow quotients and algebraic stacks.

Publications

Peer Reviewed Journals

 YearPublication
(2016)'A virtual fundamental class construction for the moduli space of (C*)n-equivariant morphisms'
Andrei Mustata (2016) 'A virtual fundamental class construction for the moduli space of (C*)n-equivariant morphisms'. Advances In Mathematics, 296 [Details]
(2012)'The structure of a local embedding and Chern classes of weighted blow-ups'
Mustata, AM;Mustata, A (2012) 'The structure of a local embedding and Chern classes of weighted blow-ups'. Journal of the European Mathematical Society, 14 :1739-1794 [DOI] [Details]
(2010)'Universal relations on stable map spaces in genus zero'
Anca Mustata and Andrei Mustata; (2010) 'Universal relations on stable map spaces in genus zero'. Transactions of The American Mathematical Society, 362 (4):1699-1720 [Details]
(2008)'Tautological Rings of Stable Map Spaces'
Mustata, AM, Mustata, A; (2008) 'Tautological Rings of Stable Map Spaces'. Advances In Mathematics, 217 (4):1728-1755 [DOI] [Details]
(2008)'The Chow ring of M_{0;m}(P^n; d)'
Mustata, A, Mustata, AM (2008) 'The Chow ring of M_{0;m}(P^n; d)'. Journal Für Die Reine Und Angewandte Mathematik, 615 (2008):93-119 [Details]
(2007)'Intermediate moduli spaces of stable maps'
Anca Mustata and Andrei Mustata; (2007) 'Intermediate moduli spaces of stable maps'. Inventiones Mathematicae, 167 :47-90 [Details]

Conference Publications

 YearPublication
(2014)21st International Symposium on Mathematical Theory of Networks and Systems. Groningen, The Netherlands
BERNARD HANZON, ANDREI MUSTATA (2014) ON THE ROLE OF THE CRITICAL VALUE POLYNOMIAL IN ALGEBRAIC OPTIMIZATION 21st International Symposium on Mathematical Theory of Networks and Systems. Groningen, The Netherlands [Details]

Electronic Article

 YearPublication
(2015)Gromov-Witten invariants for varieties with C* action.
Anca Mustata, Andrei Mustata (2015) Gromov-Witten invariants for varieties with C* action. https://arxiv.org/: Electronic Article   [Details]
(2010)A universal étale lift of a proper local embedding.
Anca Mustata, Andrei Mustata (2010) A universal étale lift of a proper local embedding. https://arxiv.org/: Electronic Article   [Details]

Manuscript

 YearPublication
(2022)A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2.
Dendrinos, S; Mustata, A; Vitturi, M (2022) A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2. Manuscript [Details]
(2022)Moduli spaces of broken G orbits.
Andrei Mustata (2022) Moduli spaces of broken G orbits. Manuscript   [Details]

Professional Activities

Journal Activities

 JournalRoleTo / From
Bulletinetin Of The London Mathematical Society Referee-
The Michigan Mathematical Journal Referee-
Communications In Algebra Referee-
Advances In Mathematics Referee-
Osaka Journal Of Mathematics Referee-
Pacific Journal Of Mathematics Referee-

Conference Contributions

 YearPublication
(2016)The Irish Geometry Conference,
Andrei Mustata (2016) Varieties with C* actions and their invariants. [Invited Lectures (Conference)], The Irish Geometry Conference, TCD , 13-MAY-16 - 14-MAY-16. [Details]
(2014)Irish Mathematical Society Workshop on Kähler Geometry and Geometric Analysis,
Andrei Mustata (2014) The moduli space of equivariant morphisms from stable toric varieties into a projective variety. [Invited Lectures (Conference)], Irish Mathematical Society Workshop on Kähler Geometry and Geometric Analysis, UCC , 12-MAY-14 - 14-JUN-14. [Details]
(2012)Irish Algebraic Geometry Conference 2012,
Andrei Mustata (2012) On the intersection theory of Chow Quotients. [Invited Lectures (Conference)], Irish Algebraic Geometry Conference 2012, Mary Immaculate College, Limerick , 03-FEB-12 - 04-FEB-12. [Details]
(2010)Irish Algebraic Geometry Seminar, 2010,
Andrei Mustata (2010) Intersection Theory on Torus Quotients. [Invited Lectures (Conference)], Irish Algebraic Geometry Seminar, 2010, St. Patrick's College, Drumcorda, Dublin , 26-NOV-10 - 27-NOV-10. [Details]
(2009)Singularity Seminar,
Andrei Mustata (2009) Blow-ups along local embeddings. [Invited Seminars/Guest Lectures], Singularity Seminar, Universite Paris 7 , 11-OCT-09 - 11-OCT-09. [Details]
(2009)Algebraic Geometry Seminar,
Andrei Mustata (2009) Construction of A Virtual Fundamental Class for Torus Quotients. [Invited Seminars/Guest Lectures], Algebraic Geometry Seminar, University of Georgia , 26-APR-09 - 26-FEB-10. [Details]
(2009)Irish Geometry Conference,
Andrei Mustata (2009) On Chow quotients. [Invited Lectures (Conference)], Irish Geometry Conference, UCC , 01-MAY-09 - 02-MAY-09. [Details]
(2009)Graduate Lectures on Moduli Spaces,
Andrei Mustata (2009) Flops of rationally connected varieties and quantum cohomology. [Invited Lectures (Workshops)], Graduate Lectures on Moduli Spaces, Sogang University, Korea , 05-JAN-09 - 07-JAN-09. [Details]
(2009)Workshop on Moduli Spaces,
Andrei Mustata (2009) Flops of rationally connected varieties and Ruan's conjecture. [Invited Lectures (Conference)], Workshop on Moduli Spaces, Sogang University, Korea , 07-JAN-09 - 08-JAN-09. [Details]
(2008)UK-Japan Winter School in Algebraic and Symplectic Geometry,
Andrei Mustata (2008) Quantum cohomology and flops of rationally connected. [Invited Lectures (Conference)], UK-Japan Winter School in Algebraic and Symplectic Geometry, Warwick, UK , 07-JAN-08 - 11-JAN-08. [Details]
(2008)Geometry and Topology Seminar,
Andrei Mustata (2008) Quantum cohomology and birational geometry. [Invited Seminars/Guest Lectures], Geometry and Topology Seminar, University of Glasgow , 10-MAR-08 - 10-MAR-09. [Details]
(2008)Seminar Algebraic Geometry in Bonn,
Andrei Mustata (2008) Blow-ups of local embeddings and Chow quotients. [Invited Seminars/Guest Lectures], Seminar Algebraic Geometry in Bonn, Bonn , 23-OCT-08 - 23-OCT-08. [Details]
(2007)Dublin Area Mathematics Colloquium,
Andrei Mustata (2007) Weighted Moduli Spaces of Stable Maps. [Invited Seminars/Guest Lectures], Dublin Area Mathematics Colloquium, Dublin , 30-NOV-07 - 30-NOV-07. [Details]

Teaching Activities

Teaching Interests

In 2011-2012 I teach

MA4051 Group Theory (P1)
MA2071/MA2006 Multivariable Calculus (P1)
MS3005 Transformation Geometry (P2)
MS2012 Introduction to Number Theory (P2)

Contact details

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School of Mathematical Sciences

Eolaíochtaí Matamaiticiúla

Room 1-57, First Floor floor, T12 XF62

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