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4. Andrei Mustata

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Biography

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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

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Peer Reviewed Journals

	Year	Publication
	(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]

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Professional Activities

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Conference Contributions

	Year	Publication
	(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]

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Journal Activities

	Journal	Role	To / 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	-

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Teaching Activities

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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)