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Contact Information

Address
Professor Gregory G. Smith
Department of Mathematics and Statistics
512 Jeffery Hall, University Avenue
Queen's University
Kingston, Ontario
Canada K7L 3N6
Phone
(613) 533—2438
Email
ggsmith@mast.queensu.ca

Upcoming Activities

2018.09.05–12.07
Semester Program on Nonlinear algebra, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, RI
2018.09.23–10.05
Varieties: arithmetic and transformations, Banach Centre, Warsaw, Poland
2018.06.24–06.29
New Trends in Syzygies, Banff International Research Station (BIRS), Banff, AB
2018.06.18–06.22
Combinatorial Algebraic Geometry Retrospective Workshop, Fields Institute, Toronto, ON
2018.03.17–03.18
Convex Bodies in Algebraic Geometry and Representation Theory, AMS Sectional Meeting, Columbus, OH
2017.12.09–12.11
Toric Geometry Session, Canadian Mathematical Society Winter Meeting, Waterloo, ON

Recent Activities

2017.10.21–10.22
Canadian Western Algebraic Geometry Symposium, University of Alberta, Edmonton, AB
2017.07.31–08.04
Core algorithms in Algebra and Geometry, SIAM Conference on Applied Algebraic Geometry, Atlanta, GA
2017.07.27–07.29
Applied Macaulay2 Tutorials, Atlanta, GA
2017.07.24–07.28
Applied and Computational Algebra and Geometry Session, Mathematical Congress of the Americas, Montreal, QC
2017.07.17–07.21
Stillman's Conjecture and Progress on Free Resolutions, University of California, Berkeley, CA
2017.07.10–07.19
Computational Algebraic Geometry, Foundations of Computational Mathematics, Bareclona, Spain
2017.05.07–05.12
Beyond Toric Geometry, Casa Matemática Oaxaca (CMO), Oaxaca, Mexico
2017.05.01–05.05
A View toward Algebric Geometry, Harbor View Hotel, Martha's Vineyard, MA
2017.03.24
Colloquium, University of Ottawa, Ottawa, ON
2017.03.09–03.11
Geometry and the Equations Defining Projective Varieties, University of Arkansas, Fayetteville, AR
2017.02.03–02.09
PEAKs 2017, Haus Bergkranz, Riezlern (Kleinwalsertal), Austria
2017.01.04–01.07
Special Session on Gaussian Graphical Models and Combinatorial Commutative Algebra, Joint Mathematics Meetings, Atlanta, GA
2016.07.01–12.09
Combinatorial algebraic geometry program, The Fields Institute, Toronto, ON

Research Interests

Algebraic Geometry, Commutative Algebra, Computer Algebra, and Combinatorics

Awards

Preprints

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Virtual resolutions for a product of projective spaces (with Christine Berkesch Zamaere and Daniel Erman), available at arXiv:1703.07631 [math.AC]
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Sharp degree bounds for sum-of-squares certificates on projective curves (with Grigoriy Blekherman and Mauricio Velasco), available at arXiv:1605.08330 [math.AG]

Publications

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Toric vector bundles and parliaments of polytopes (with Sandra Di Rocco and Kelly Jabbusch), to appear in Transactions of the American Mathematical Society, available at arXiv:1409.3109 [math.AG]
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Sums of squares and varieties of minimal degree (with Grigoriy Blekherman and Mauricio Velasco), Journal of the American Mathematical Society, 29 (2016) 893–913
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Cones of Hilbert functions (with Mats Boij), International Mathematics Research Notices 20 (2015) 10314–10338
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Log-concavity of asymptotic multigraded Hilbert Series (with Adam McCabe), Proceedings of the American Mathematical Society 141 (2013) 1883–1892
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Linear determinantal equations for all projective schemes (with Jessica Sidman), Algebra & Number Theory 5 (2011) 1041–1061
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Laurent Polynomials and Eulerian Numbers (with Daniel Erman and Anthony Várilly-Alvarado), Journal of Combinatorial Theory, Series A 118 (2011) 396–402
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Smooth and irreducible multigraded Hilbert schemes (with Diane Maclagan), Advances in Mathematics, 223 (2010) 1608–1631
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Projective toric varieties as fine moduli spaces of quiver representations (with Alastair Craw), American Journal of Mathematics 130 (2008) 1509–1534
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Syzygies, multigraded regularity and toric varieties (with Milena Hering and Hal Schenck), Compositio Mathematica 142 (2006) 1499–1506
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The orbifold Chow ring of a toric Deligne-Mumford stack (with Lev A. Borisov and Linda Chen), Journal of the American Mathematical Society 18 (2005) 193–215
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Uniform bounds on multigraded regularity (with Diane Maclagan), Journal of Algebraic Geometry 14 (2005) 137–164
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Multigraded Castelnuovo-Mumford Regularity (with Diane Maclagan), Journal für die reine und angewandte Mathematik (Crelle's Journal) 571 (2004) 179–212
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Monomial Ideals (with Serkan Hoşten), In Computations in algebraic geometry with Macaulay2, Algorithms and Computations in Mathematics 8, pp. 73–100, Springer-Verlag, New York, 2001
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Teaching the geometry of schemes (with Bernd Sturmfels), In Computations in algebraic geometry with Macaulay2, Algorithms and Computations in Mathematics 8, pp. 55–70, Springer-Verlag, New York, 2001
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Irreducible components of characteristic varieties, Journal of Pure and Applied Algebra 165 (2001) 291–306
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D-modules on smooth toric varieties (with Mircea Mustaţă, Harrison Tsai, and Uli Walther), Journal of Algebra 240 (2001) 744–770
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Computing global extension modules, Journal of Symbolic Computation 29 (2000) 729–746
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Some remarks on Hilbert functions of Veronese algebras (with H. E. A. Campbell, Anthony V. Geramita, Ian P. Hughes, and David L. Wehlau), Communications in Algebra 28 (2000) 1487–1496

Potential Students

Over the next few years, I expect to take on a number of graduate students. Although I am primarily interested in PhD students, I like to have students start at the Master's level. Highly qualified applicants are encouraged to contact me directly.

Apply for graduate studies at Queen's
Graduate program in Mathematics & Statistics at Queen's
Terence Tao's career advice
Thoughts on graduate school from the Secret Blogging Seminar
Ravi Vakil's advice for graduate students

Current Students

Benjamin Hersey (PhD 2019)
Owen Ren (PhD 2018)

Successful Students

Andrew Staal (PhD 2016)
Adam McCabe (MSc 2011)

Future Teaching

Winter 2018
Young Tableaux & the Symmetric Group (MATH 499)

Present Teaching

2017–18
Linear Algebra (MATH 110)
Fall 2017
Enumerative Combinatorics (MATH 402)

Past Teaching

2015–16
Linear Algebra (MATH 110)
Winter 2015
Elementary Geometry (MATH 387)
2013–14
Linear Algebra (MATH 110)
Fall 2012
Graph Theory (MATH 401)
Fall 2012
Ordinary Differential Equations (MTHE 225)
Winter 2012
Core Course in Algebra II (MATH 894)
2011–12
Differential and Integral Calculus (MATH 120)
Fall 2011
Graph Theory (MATH 401)
Winter 2011
Graph Theory (MATH 401)
Winter 2011
Computational Commutative Algebra (MATH 413)
Fall 2010
Advanced Calculus (MATH 280)
Fall 2008
Core Course in Algebra I (MATH 893)
Fall 2008
Vector Analysis (MATH 227)
2007–08
Linear Algebra (MATH 110)
Fall 2007
Core Course in Algebra I (MATH 893)
Winter 2007
Linear Algebra (MATH 312)
2006–07
Linear Algebra (MATH 110)
Fall 2006
Computational Commutative Algebra (MATH 413)
Winter 2006
Linear Algebra (MATH 312)
Fall 2005
Graph Theory (MATH 401)
Fall 2005
Advanced Calculus (MATH 280)
2004–05
Differential and Integral Calculus (MATH 120)