Daniel Erman

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All published works

Action	Title	Year	Authors
+ PDF Chat	King's Conjecture and Birational Geometry	2024	Matthew R. Ballard Christine Berkesch Michael K. Brown Lauren Cranton Heller Daniel Erman David Favero Sheel Ganatra Andrew Hanlon Jesse Huang
+	Tate resolutions on toric varieties	2024	Michael K. Brown Daniel Erman
+	Linear strands of multigraded free resolutions	2024	Michael K. Brown Daniel Erman
+ PDF Chat	A short proof of the Hanlon-Hicks-Lazarev Theorem	2024	Michael K. Brown Daniel Erman
+	Positivity and nonstandard graded Betti numbers	2023	Michael K. Brown Daniel Erman
+	Linear syzygies of curves in weighted projective space	2023	Michael K. Brown Daniel Erman
+	Positivity and nonstandard graded Betti numbers	2023	Michael K. Brown Daniel Erman
+	A short proof of the Hanlon-Hicks-Lazarev Theorem	2023	Michael K. Brown Daniel Erman
+	Interpolation over ℤ and torsion in class groups	2022	John D. Berman Daniel Erman
+	Minimal free resolutions of differential modules	2022	Michael K. Brown Daniel Erman
+ PDF Chat	Characteristic Dependence of Syzygies of Random Monomial Ideals	2022	Caitlyn Booms-Peot Daniel Erman Jay Yang
+	Linear strands of multigraded free resolutions	2022	Michael K. Brown Daniel Erman
+ PDF Chat	The Schur–Veronese package in Macaulay2	2021	Juliette Bruce Daniel Erman Steve Goldstein Jay Yang
+ PDF Chat	Syzygies of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>: Data and conjectures	2021	Juliette Bruce Daniel Corey Daniel Erman Steve Goldstein Robert P. Laudone Jay Yang
+	Small projective spaces and Stillman uniformity for sheaves	2021	Daniel Erman Steven V Sam Andrew Snowden
+	Syzygies of $\mathbb{P}^{1}\times \mathbb{P}^{1}$: data and conjectures	2021	Juliette Bruce Daniel Corey Daniel Erman Steve Goldstein Robert P. Laudone Jay Yang
+	Matrix factorizations of generic polynomials	2021	Daniel Erman
+	Tate resolutions on toric varieties	2021	Michael K. Brown Daniel Erman
+	Minimal free resolutions of differential modules	2021	Michael K. Brown Daniel Erman
+ PDF Chat	Big Polynomial Rings with Imperfect Coefficient Fields	2020	Daniel Erman Steven V Sam Andrew Snowden
+	Heuristics for $\ell$-torsion in Veronese Syzygies	2020	Caitlyn Booms-Peot Daniel Erman Jay Yang
+ PDF Chat	Strength and Hartshorne’s Conjecture in high degree	2020	Daniel Erman Steven V Sam Andrew Snowden
+	Virtual resolutions for a product of projective spaces	2020	Daniel Erman
+ PDF Chat	An equivariant Hilbert basis theorem	2020	Daniel Erman Steven V Sam Andrew Snowden
+	Characteristic dependence of syzygies of random monomial ideals	2020	Caitlyn Booms-Peot Daniel Erman Jay Yang
+ PDF Chat	A probabilistic approach to systems of parameters and Noether normalization	2019	Juliette Bruce Daniel Erman
+ PDF Chat	Generalizations of Stillman’s Conjecture via Twisted Commutative Algebra	2019	Daniel Erman Steven V Sam Andrew Snowden
+	Stillman uniformity for cohomology of sheaves	2019	Daniel Erman Steven V Sam Andrew Snowden
+	The SchurVeronese package in Macaulay2	2019	Juliette Bruce Daniel Erman Steve Goldstein Jay Yang
+	Tate Resolutions on Products of Projective Spaces: Cohomology and Direct Image Complexes	2019	Daniel Erman David Eisenbud Frank–Olaf Schreyer
+ PDF Chat	Big polynomial rings and Stillman’s conjecture	2019	Daniel Erman Steven V Sam Andrew Snowden
+	Interpolation over ZZ and torsion in class groups	2019	John D. Berman Daniel Erman
+	Tate Resolutions on Products of Projective Spaces: Cohomology and Direct Image Complexes	2019	Daniel Erman David Eisenbud Frank–Olaf Schreyer
+ PDF Chat	Random flag complexes and asymptotic syzygies	2018	Daniel Erman Jay Yang
+ PDF Chat	Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials	2018	Daniel Erman Steven V Sam Andrew Snowden
+ PDF Chat	Conjectures and Computations about Veronese Syzygies	2018	Juliette Bruce Daniel Erman Steve Goldstein Jay Yang
+	Big polynomial rings with imperfect coefficient fields	2018	Daniel Erman Steven V Sam Andrew Snowden
+	An equivariant Hilbert basis theorem	2017	Daniel Erman Steven V Sam Andrew Snowden
+ PDF Chat	Categorified duality in Boij–Söderberg theory and invariants of free complexes	2017	David Eisenbud Daniel Erman
+ PDF Chat	Divergent series and Serre's intersection formula for graded rings	2017	Daniel Erman
+	Conjectures and computations about Veronese syzygies	2017	Juliette Bruce Daniel Erman Steve Goldstein Jay Yang
+	An equivariant Hilbert basis theorem	2017	Daniel Erman Steven V Sam Andrew Snowden
+	Questions about Boij–Söderberg theory	2017	Daniel Erman Steven V Sam
+ PDF Chat	Supernatural analogues of Beilinson monads	2016	Daniel Erman Steven V Sam
+ PDF Chat	Furstenberg sets and Furstenberg schemes over finite fields	2016	Jordan S. Ellenberg Daniel Erman
+	Gauss composition for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>, and the universal Jacobian of the Hurwitz space of double covers	2016	Daniel Erman Melanie Matchett Wood
+	A quick proof of nonvanishing for asymptotic syzygies	2016	Lawrence Ein Daniel Erman Robert Lazarsfeld
+	Questions about Boij-Söderberg theory	2016	Daniel Erman Steven V Sam
+	Divergent Series and Serre's intersection formula for graded rings	2015	Daniel Erman
+ PDF Chat	A heuristic for the distribution of point counts for random curves over a finite field	2015	Jeffrey D. Achter Daniel Erman Kiran S. Kedlaya Melanie Matchett Wood David Zureick-Brown
+ PDF Chat	Tate Resolutions for Products of Projective Spaces	2015	David Eisenbud Daniel Erman Frank–Olaf Schreyer
+ PDF Chat	Semiample Bertini theorems over finite fields	2015	Daniel Erman Melanie Matchett Wood
+ PDF Chat	The Betti table of a high-degree curve is asymptotically pure	2015	Daniel Erman
+	Recent Advances in Algebraic Geometry	2015	Christopher D. Hacon Christopher D. Hacon Thomas Bauer Aaron Bertram Sébastien Boucksom Gilbert Burnham F. Campana Fabrizio Catanese J. A. Chen Olivier Debarre
+	Divergent Series and Serre's intersection formula for graded rings	2015	Daniel Erman
+ PDF Chat	Tensor complexes: multilinear free resolutions constructed from higher tensors	2013	Christine Berkesch Daniel Erman Manoj Kummini Steven V Sam
+ PDF Chat	Asymptotics of random Betti tables	2013	Lawrence Ein Daniel Erman Robert Lazarsfeld
+ PDF Chat	Filtering free resolutions	2013	David Eisenbud Daniel Erman Frank–Olaf Schreyer
+	The Betti table of a high degree curve is asymptotically pure	2013	Daniel Erman
+	Three Flavors of Extremal Betti Tables	2012	Christine Berkesch Daniel Erman Manoj Kummini
+	Categorified duality in Boij-S\	2012	David Eisenbud Daniel Erman
+	The cone of Betti diagrams over a hypersurface ring of low embedding dimension	2012	Christine Berkesch Jesse Burke Daniel Erman Courtney R. Gibbons
+ PDF Chat	Murphy’s law for Hilbert function strata in the Hilbert scheme of points	2012	Daniel Erman
+ PDF Chat	Poset Structures in Boij–Söderberg Theory	2011	Christine Berkesch Daniel Erman Manoj Kummini Steven V Sam
+ PDF Chat	Secant varieties of ℙ<sup>2</sup> × ℙ<sup> <i>n</i> </sup> embedded by 𝒪(1, 2)	2011	Dustin Cartwright Daniel Erman Luke Oeding
+ PDF Chat	Shapes of free resolutions over a local ring	2011	Christine Berkesch Daniel Erman Manoj Kummini Steven V Sam
+	MSRI GRADUATE STUDENT WORKSHOP, JUNE 2011: NEW DIRECTIONS IN COMMUTATIVE ALGEBRA	2011	Daniel Erman Irena Swanson Amelia Taylor
+	Laurent polynomials and Eulerian numbers	2010	Daniel Erman Gregory Smith Anthony Várilly‐Alvarado
+	A syzygetic approach to the smoothability of zero-dimensional schemes	2010	Daniel Erman Mauricio Velasco
+	Beyond Numerics: The Existence of Pure Filtrations	2010	David Eisenbud Daniel Erman Frank–Olaf Schreyer
+	Applications and Extensions of Boij-Soederberg Theory	2010	Daniel Erman
+ PDF Chat	A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture	2010	Daniel Erman
+	Applications and Extensions of Boij-Soederberg Theory - eScholarship	2010	Daniel Erman
+ PDF Chat	Hilbert schemes of 8 points	2009	Dustin Cartwright Daniel Erman Mauricio Velasco Bianca Viray
+ PDF Chat	The semigroup of Betti diagrams	2009	Daniel Erman
+	Hilbert schemes of 8 points in A^d	2008	Dustin Cartwright Daniel Erman Mauricio Velasco Bianca Viray

Common Coauthors

Coauthor	Papers Together
Steven V Sam	17
Michael K. Brown	12
Andrew Snowden	11
Jay Yang	9
David Eisenbud	8
Juliette Bruce	7
Steve Goldstein	6
Christine Berkesch	6
Frank–Olaf Schreyer	5
Manoj Kummini	4
Caitlyn Booms-Peot	3
Melanie Matchett Wood	3
Dustin Cartwright	3
Mauricio Velasco	3
Lawrence Ein	2
Bianca Viray	2
Daniel Corey	2
Robert P. Laudone	2
John D. Berman	2
Robert Lazarsfeld	2
Matthew R. Ballard	1
G. Pareschi	1
Gregory Smith	1
Jesse Burke	1
Jordan S. Ellenberg	1
David Zureick-Brown	1
David Favero	1
Aaron Bertram	1
Amelia Taylor	1
Irena Swanson	1
S. Mukai	1
Jeffrey D. Achter	1
Igor V. Dolgachev	1
Thomas Bauer	1
Jay Yang	1
C. Voisin	1
Loreto Lombardi	1
Luke Oeding	1
Jesse Huang	1
Christian Schnell	1
Christopher D. Hacon	1
J. A. Chen	1
Courtney R. Gibbons	1
Gilbert Burnham	1
Sébastien Boucksom	1
F. Campana	1
Olivier Debarre	1
Sheel Ganatra	1
Daniel Greb	1
R. Paoletti	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Betti numbers of graded modules and cohomology of vector bundles	2008	David Eisenbud Frank Olaf Schreyer	25
+ PDF Chat	Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture	2008	Mats Boij Jonas Söderberg	18
+ PDF Chat	The existence of equivariant pure free resolutions	2011	David Eisenbud Gunnar Fløystad Jerzy Weyman	12
+	Sheaf cohomology and free resolutions over exterior algebras	2003	David Eisenbud Gunnar Fløystad Frank–Olaf Schreyer	12
+ PDF Chat	Asymptotic syzygies of algebraic varieties	2012	Lawrence Ein Robert Lazarsfeld	11
+ PDF Chat	Cohomology of coherent sheaves and series of supernatural bundles	2010	David Eisenbud Frank–Olaf Schreyer	11
+	Betti Numbers of Syzygies and Cohomology of Coherent Sheaves	2011	David Eisenbud Frank–Olaf Schreyer	11
+ PDF Chat	Betti Numbers of Syzygies and Cohomology of Coherent Sheaves	2011	Frank–Olaf Schreyer David Eisenbud	10
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	10
+ PDF Chat	Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen–Macaulay case	2012	Mats Boij Jonas Söderberg	10
+ PDF Chat	Koszul cohomology and the geometry of projective varieties	1984	Mark L. Green	10
+ PDF Chat	Tensor complexes: multilinear free resolutions constructed from higher tensors	2013	Christine Berkesch Daniel Erman Manoj Kummini Steven V Sam	8
+ PDF Chat	Asymptotics of random Betti tables	2013	Lawrence Ein Daniel Erman Robert Lazarsfeld	8
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	8
+	Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case	2008	Mats Boij Jonas Söderberg	7
+ PDF Chat	Shapes of free resolutions over a local ring	2011	Christine Berkesch Daniel Erman Manoj Kummini Steven V Sam	7
+	Pieri resolutions for classical groups	2010	Steven V Sam Jerzy Weyman	7
+	Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3	1977	David A. Buchsbaum David Eisenbud	7
+	Coherent sheaves on Pn and problems of linear algebra	1978	A. A. Beilinson	6
+	A quick proof of nonvanishing for asymptotic syzygies	2016	Lawrence Ein Daniel Erman Robert Lazarsfeld	6
+ PDF Chat	Open Problems on Syzygies and Hilbert Functions	2008	Irena Peeva Michael Stillman	6
+ PDF Chat	The linear space of Betti diagrams of multigraded artinian modules	2010	Gunnar Fløystad	6
+ PDF Chat	Boij-Söderberg theory: Introduction and survey	2011	Gunnar Fløystad	6
+ PDF Chat	Categorified duality in Boij–Söderberg theory and invariants of free complexes	2017	David Eisenbud Daniel Erman	6
+	Algebraic Geometry	1977	Robin Hartshorne	6
+	Commutative Algebra	1995	David Eisenbud	6
+	Computing graded Betti tables of toric surfaces	2019	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens	5
+	Small subalgebras of polynomial rings and Stillman’s Conjecture	2019	Tigran Ananyan Melvin Hochster	5
+ PDF Chat	Conjectures and Computations about Veronese Syzygies	2018	Juliette Bruce Daniel Erman Steve Goldstein Jay Yang	5
+	Virtual resolutions for a product of projective spaces	2020	Daniel Erman	5
+	Algebraic vector bundles on projective spaces: A problem list	1979	Robin Hartshorne	5
+ PDF Chat	Filtering free resolutions	2013	David Eisenbud Daniel Erman Frank–Olaf Schreyer	5
+	The cone of Betti tables over a rational normal curve	2013	Manoj Kummini Steven V Sam	4
+ PDF Chat	Three themes of syzygies	2016	Gunnar Fløystad Jason McCullough Irena Peeva	4
+	Topological Noetherianity of polynomial functors	2017	Jan Draisma	4
+	The cone of Betti diagrams over a hypersurface ring of low embedding dimension	2012	Christine Berkesch Jesse Burke Daniel Erman Courtney R. Gibbons	4
+ PDF Chat	Supernatural analogues of Beilinson monads	2016	Daniel Erman Steven V Sam	4
+	Cohomology of Vector Bundles and Syzygies	2003	Jerzy Weyman	4
+ PDF Chat	Non-simplicial decompositions of Betti diagrams of complete intersections	2015	Courtney R. Gibbons Jack Jeffries Sarah Mayes Claudiu Raicu Branden Stone Bryan White	4
+ PDF Chat	Big polynomial rings and Stillman’s conjecture	2019	Daniel Erman Steven V Sam Andrew Snowden	4
+	Combinatorial Aspects of Commutative Algebra and Algebraic Geometry	2011	Gunnar Fløystad Trygve Johnsen Andreas Leopold Knutsen	4
+ PDF Chat	Stillman’s conjecture via generic initial ideals	2019	Jan Draisma Michał Lasoń Anton Leykin	4
+	On the bettinumbers of finite pure and linear resolutions	1984	Jürgen Herzog Michael Kühl	4
+ PDF Chat	The Betti table of a high-degree curve is asymptotically pure	2015	Daniel Erman	4
+	Castelnuovo Mumford regularity with respect to multigraded ideals	2016	Nicolás Botbol Marc Chardin	4
+	Koszul duality for multigraded algebras	2009	Fareed Hawwa	4
+	Combinatorial Commutative Algebra	2005	Ezra Miller Bernd Sturmfels	4
+	Resultants and Chow forms via exterior syzygies	2003	David Eisenbud Frank–Olaf Schreyer Jerzy Weyman	4
+	The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two	2011	Mats Boij Gunnar Fløystad	4
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	4