publications

Published articles and preprints.

To appear

  1. JNCG
    Kernels for Noncommutative Projective Schemes
    Ballard, Matthew R., and Farman, Blake A.
    J. Noncomm. Geo. To appear
  2. Math. Nacht.
    Derived categories of centrally-symmetric smooth toric Fano varieties
    Ballard, Matthew R., Duncan, Alexander, and McFaddin, Patrick K
    Math. Nacht. To appear

2021

  1. JMPA
    Kernels for Grassmann flops
    Ballard, Matthew R., Chidambaram, Nitin K., Favero, David, McFaddin, Patrick K., and Vandermolen, Robert R.
    J. Math. Pures Appl. (9) 2021

2020

  1. arXiv
    Separable algebras and coflasque resolutions
    Ballard, Matthew R., Duncan, Alexander, Lamarche, Alicia, and McFaddin, Patrick K
    2020
  2. arXiv
    Consequences of the existence of exceptional collections in arithmetic and rationality
    Ballard, Matthew R., Duncan, Alexander, Lamarche, Alicia, and McFaddin, Patrick K
    2020

2019

  1. Eur. J. Math.
    The toric Frobenius morphism and a conjecture of Orlov
    Ballard, Matthew R., Duncan, Alexander, and McFaddin, Patrick K.
    Eur. J. Math. 2019
  2. Ann. K-Theory
    On derived categories of arithmetic toric varieties
    Ballard, Matthew, Duncan, Alexander, and McFaddin, Patrick
    Ann. K-Theory 2019
  3. Crelle
    Variation of geometric invariant theory quotients and derived categories
    Ballard, Matthew, Favero, David, and Katzarkov, Ludmil
    J. Reine Angew. Math. 2019

2018

  1. Superschool on derived categories and D-branes
    2018
  2. Math. Ann.
    On the derived categories of degree d hypersurface fibrations
    Ballard, Matthew, Deliu, Dragos, Favero, David, Isik, M. Umut, and Katzarkov, Ludmil
    Math. Ann. 2018

2017

  1. Alg. Geo.
    Wall crossing for derived categories of moduli spaces of sheaves on rational surfaces
    Ballard, Matthew Robert
    Algebr. Geom. 2017
  2. JEMS
    Homological projective duality via variation of geometric invariant theory quotients
    Ballard, Matthew, Deliu, Dragos, Favero, David, Isik, M. Umut, and Katzarkov, Ludmil
    J. Eur. Math. Soc. (JEMS) 2017

2016

  1. Adv. Math.
    Resolutions in factorization categories
    Ballard, Matthew, Deliu, Dragos, Favero, David, Isik, M. Umut, and Katzarkov, Ludmil
    Adv. Math. 2016

2015

  1. Trans. AMS
    The Mori program and non-Fano toric homological mirror symmetry
    Ballard, Matthew, Diemer, Colin, Favero, David, Katzarkov, Ludmil, and Kerr, Gabriel
    Trans. Amer. Math. Soc. 2015

2014

  1. Pub. IHES
    A category of kernels for equivariant factorizations and its implications for Hodge theory
    Ballard, Matthew, Favero, David, and Katzarkov, Ludmil
    Publ. Math. Inst. Hautes √Čtudes Sci. 2014
  2. JMPA
    A category of kernels for equivariant factorizations, II: further implications
    Ballard, Matthew, Favero, David, and Katzarkov, Ludmil
    J. Math. Pures Appl. (9) 2014

2012

  1. Invent. Math.
    Orlov spectra: bounds and gaps
    Ballard, Matthew, Favero, David, and Katzarkov, Ludmil
    Invent. Math. 2012
  2. IMRN
    Hochschild dimensions of tilting objects
    Ballard, Matthew, and Favero, David
    Int. Math. Res. Not. IMRN 2012

2011

  1. Adv. Math.
    Derived categories of sheaves on singular schemes with an application to reconstruction
    Ballard, Matthew Robert
    Adv. Math. 2011

2009

  1. arXiv
    Equivalences of derived categories of sheaves on quasi-projective schemes
    Ballard, Matthew Robert
    2009

2008

  1. arXiv
    Sheaves on local Calabi-Yau varieties
    Ballard, Matthew Robert
    2008
  2. Thesis
    Derived categories of sheaves of quasi-projective schemes
    Ballard, Matthew Robert
    2008
  3. Meet homological mirror symmetry
    Ballard, Matthew Robert
    2008