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
(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]
(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]
(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]
(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]

Professional Activities

Conference Contributions

 YearPublication
(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]
(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)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)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]
(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)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)Irish Geometry Conference,
Andrei Mustata (2009) On Chow quotients. [Invited Lectures (Conference)], Irish Geometry Conference, UCC , 01-MAY-09 - 02-MAY-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)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]
(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]
(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]
(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]

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-

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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