MA4051 Group Theory (P1)
MA2071/MA2006 Multivariable Calculus (P1)
MS3005 Transformation Geometry (P2)
MS2012 Introduction to Number Theory (P2)
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
| Year | Publication | |
|---|---|---|
| (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
| Year | Publication | |
|---|---|---|
| (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
| Year | Publication | |
|---|---|---|
| (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
| Year | Publication | |
|---|---|---|
| (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
| 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 | - |
Conference Contributions
| Year | Publication | |
|---|---|---|
| (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 teachMA4051 Group Theory (P1)
MA2071/MA2006 Multivariable Calculus (P1)
MS3005 Transformation Geometry (P2)
MS2012 Introduction to Number Theory (P2)