Publications

  • Schwede, Karl (date unknown). Du Bois singularities deform. (pp. 49-65). Vol. 70. Adv. Stud. Pure Math. Accepted, .
  • Karl E Schwede (date unknown). Positive characteristic algebraic geometry. (pp. 33-80). Vol. 95. Proc. Sympos. Pure Math. Accepted, .
  • Karl E Schwede (date unknown). Divisor package for Macaulay2. J. Softw. Algebra Geom. Vol. 8, 87-94. Accepted, .
  • Karl E Schwede (date unknown). P. Cascini, C. Hacon, M. Mustata and K. Schwede, On the numerical dimension of pseudo-effective divisors in positive characteristic. Amer. J. Math. 136 (2014), no. 6, 1609–1628. MathSciNet review: 3282982 DOI: 10.1353/ajm.2014.0047. Accepted, .
  • D. Hernandez (date unknown). The FrobeniusThresholds package for Macaulay2. Journal of Software for Algebra and Geometry. Vol. 11, 25-39. Accepted, .
  • Ma L., Schwede K. (date unknown). Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers. Inventiones Mathematicae. Vol. 214, 913-955. Accepted, .
  • Karl E Schwede (date unknown). K. Schwede and K. Tucker, Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems. J. Math. Pures Appl. (9) 102 (2014), no. 5, 891–929. MathSciNet review: 3271293 doi:10.1016/j.matpur.2014.02.009. Accepted, .
  • Karl E Schwede (date unknown). K. Schwede, A canonical linear system associated to adjoint divisors in characteristic p > 0 J. Reine Angew. Math. 696 (2014), 69–87. MathSciNet review: 3276163 DOI: 10.1515/crelle-2012-0087. Accepted, .
  • Karl Schwede (date unknown). Seminormalization package for Macaulay2. J. Softw. Algebra Geom. Vol. 10, 1-7. Accepted, .
  • KARL SCHWEDE (date unknown). Sandor Kovacs and Karl Schwede, Inversion of adjunction for rational and Du Bois pairs. Algebra Number Theory 10 (2016), no. 5, 969–1000. Accepted, .
  • Karl Schwede (date unknown). The F-different and a canonical bundle formula. Ann. Sc. Norm. Super. Pisa Cl. Sci. Vol. XVII, 1173-1205. Accepted, .
  • Karl E Schwede (date unknown). K. Schwede and A. K. Singh, F-injectivity and depth. Appendix to Deformations of F -injectivity and local cohomology by J. Horiuchi, L. E. Miller and K. Shimomoto. Indiana Univ. Math. J. 63 (2014), no. 4, 1139-1157. MathSciNet review: 3263925 doi: 10.1512/iumj.2014.63.5313. Accepted, .
  • Karl Schwede (date unknown). C.J. Bott, S. H. Hassanzadeh, K. Schwede, D. Smolkin. RationalMaps, a package for Macaulay2, a paper describing a software package. Available on my website. Accepted, .
  • Karl E Schwede (date unknown). P. Cascini, Y. Gongyo, and K. Schwede, Uniform bounds for strongly F-regular surfaces, Transactions of the American Mathematical Society, 368 (2016), no. 8, 5547–5563. Accepted, .
  • Karl E Schwede (date unknown). Y. Gongyo, Z. Li, Z. Patakfalvi, K. Schwede, H. Tanaka, H. R. Zong, On rational connectedness of globally F-regular threefolds, Adv. Math. 280 (2015), 47–78. Accepted, .
  • Boix. A. F. (date unknown). The TestIdeals package for Macaulay2. Journal of Software for Algebra and Geometry. Vol. 9. Accepted, .
  • Carvajal-Rojas J. (date unknown). Fundamental groups of F-Regular singularities via F-signature. Annales Scientifiques de l'Ecole Normale Superieure. Vol. 51, 993-1016. Accepted, .
  • Karl E Schwede (date unknown). K. Schwede and K. Tucker, On the behavior of test ideals under finite morphisms. J. Algebraic Geom. 23 (2014), 399-443 MathSciNet review: 3205587. DOI: http://dx.doi.org/10.1090/S1056-3911-2013-00610-4 DOI: http://dx.doi.org/10.1090/S1056-3911-2013-00610-4 - See more at: ht... Accepted, .
  • Karl E Schwede (date unknown). M. Katzman, K. Schwede, A. K. Singh and W. Zhang, Rings of Frobenius operators. Math. Proc. Cambridge Philos. Soc. 157 (2014), no. 1, 151–167. MathSciNet review: 3211813 http://dx.doi.org/10.1017/S0305004114000176. Accepted, .
  • Karl E Schwede (date unknown). B. Bhatt, K. Schwede, S. Takagi, The weak ordinarity conjecture and F-singularities, To appear in a volume of Advanced Studies in Pure Mathematics, arXiv:1307.3763. Accepted, .
  • Ma L. (date unknown). Recent applications of p-adic methods to commutative algebra. Notices of the American Mathematical Society. Vol. 66, 820-831. Accepted, .
  • Patakfalvi Z. (date unknown). F-singularities in families. Algebraic Geometry. Vol. 5, 264-327. Accepted, .
  • Bhatt B. (date unknown). The dualizing complex of F-injective and Du Bois singularities. Mathematische Zeitschrift. Vol. 288, 1143-1155. Accepted, .
  • Karl E Schwede (date unknown). J. C. Hsiao, K. Schwede, and W. Zhang, Cartier modules on toric varieties. Trans. Amer. Math. Soc. 366 (2014), 1773-1795 MathSciNet review: 3152712 DOI: http://dx.doi.org/10.1090/S0002-9947-2013-05856-4 DOI: http://dx.doi.org/10.1090/S0002-9947-2013-05856-4 - See more at: h... Accepted, .
  • Karl E Schwede (date unknown). Mircea Mustaţă and Karl Schwede, A Frobenius variant of Seshadri constants. Math. Ann. 358 (2014), no. 3-4, 861–878. MathSciNet review: 3175143 http://dx.doi.org/10.1007/s00208-013-0976-4. Accepted, .
  • Karl E Schwede (date unknown). N. Epstein and K. Schwede, A dual to tight closure theory. Nagoya Math. J. 213 (2014), 41–75. MathSciNet review: 3290685 doi:10.1215/00277630-2376749. Accepted, .
  • Karl E Schwede (date unknown). S. Kumar and K. Schwede, Richardson varieties have Kawamata log terminal singularities. Int. Math. Res. Not. IMRN 2014, no. 3, 842–864. MathSciNet review: 3163569 doi:10.1093/imrn/rns241. Accepted, .
  • Ma L. (date unknown). F-Signature under Birational Morphisms. Forum of Mathematics, Sigma. Accepted, .
  • Chiecchio A. (date unknown). Test ideals in rings with finitely generated anti-canonical algebras. Journal of the Institute of Mathematics of Jussieu. Vol. 17, 171-206. Accepted, .
  • Karl E Schwede (date unknown). M. Blickle, K. Schwede, K. Tucker, F-singularities via alterations To appear in the American Journal of Mathematics. arXiv:1107.3807 doi: 10.1353/ajm.2015.0000. Accepted, .
  • Karl E Schwede (date unknown). Z. Patakfalvi and K. Schwede, Depth of F-singularities and base change of relative canonical sheaves. J. Inst. Math. Jussieu 13 (2014), no. 1, 43–63. MathSciNet review: 3134015 DOI: http://dx.doi.org/10.1017/S1474748013000066. Accepted, .

Presentations

  • Short lecture series on Cartier modules held at the Special FRG month on Higher Dimensional Algebraic Geometry at the University of Michigan. Contributed Talk, Presented, 2014.
    http://www.math.lsa.umich.edu/~mmustata/FRG_specia...
  • Michigan State University, Algebraic Geometry Seminar (Virtual). , Presented, 2021.
  • University of Washington, Algebraic Geometry Seminar. , Presented, 2021.
  • University of Illinois at Chicago, Algebraic Geometry Seminar (Virtual). , Presented, 2021.
  • Tata Institute for Fundamental Research, Colloquium (Vir- tual). , Presented, 2021.
  • ZAG (Zoom Algebraic Geometry) Seminar (Virtual). , Presented, 2021.
  • Geometry Seminar, Roma Tres (Virtual). , Presented, 2021.
  • Workshop on Algebraic Geometry, Fudan University, Shang- hai, China. , Presented, 2019.
  • Lecture Series, Introductory Workshop: Derived Algebraic Ge- ometry and Birational Geometry and Moduli Spaces, Math Science Research Institute (MSRI), Berkeley. , Presented, 2019.
    https://www.msri.org/people/11129
  • University of Arizona, Algebraic Seminar, Tucson, Arizona. , Presented, 2017.
    http://math.arizona.edu/events/8874
  • Conference talk, Algebraic Geometry: Birational Classification, Derived Cate- gories, and Moduli Spaces, Oberwolfach, German. , Presented, 2017.
    https://www.mfo.de/occasion/1739/www_view
  • EPFL Lausanne, Algebraic Geometry Seminar. , Presented, 2017.
    https://tan.epfl.ch/page-126880-fr.html
  • The Prospects for Commutative Algebra, Osaka, Japan. , Presented, 2017.
    http://commalg2017.jp/index.html
  • Higher Dimensional Algebraic Geometry 2017, National Center for Theoretical Sciences, Taipei, Taiwan. , Presented, 2017.
    http://www.ncts.ntu.edu.tw/events_2_detail.php?nid...
  • London Geometry and Topology Seminar, Imperial College, London. , Presented, 2017.
    http://geometry.ma.ic.ac.uk/seminar/?page_id=1094
  • AGNES (Algebraic Geometry Northeastern Series), Stony Brook University. , Presented, 2017.
    http://www.agneshome.org/stony-brook-2017
  • SLAM (Southwest Local Algebra Meeting). University of New Mexico. , Presented, 2017.
    http://www.math.ttu.edu/~lchriste/slam2017.html
  • KUMUNU – regional commutative algebra conference. , Presented, 2016.
  • Differential forms in algebraic geometry (conference) – University of Freiburg, Germany. , Presented, 2016.
  • University of Illinois at Chicago, algebraic geometry seminar. , Presented, 2016.
  • Joint mathematical meetings in Seattle, special session on commutative algebra,. , Presented, 2016.
  • Mini-course at the Multiplier ideals, Test ideals and Bernstein Sato polynomials, conference – Universitat Politcnica de Catalunya, Barcelona. , Presented, 2015.
  • AMS summer institute in Algebraic Geometry – University of Utah. , Presented, 2015.
  • Georgetown University AMS Meeting, Special Session on Closure Operations in Commutative Algebra. , Presented, 2015.
  • Conference on Frobenius Operators and Cartier Algebras – Georgia State University. , Presented, 2015.
  • Georgia algebraic geometry symposium, University of Georgia. , Presented, 2014.
  • Western Algebraic Geometry Symposium, University of Idaho. , Presented, 2014.
  • Algebra Seminar, Georgia Tech University. , Presented, 2014.
  • Route 81 Conference, Cornell University. , Presented, 2014.
  • Seminar/Conference style talk held at the Special FRG month on Higher Dimensional Algebraic Geometry at the University of Michigan. , Presented, 2014.
    http://www.math.lsa.umich.edu/~mmustata/FRG_specia...
  • Combinatorics and algebra seminar, George Mason University. , Presented, 2014.
  • Colloquium, Mathematics Department, George Mason University. , Presented, 2014.
  • Presentation at the Texas Algebraic Geometry Symposium. , Presented, 2014.
  • Colloquium, Math Department, University of South Carolina. , Presented, 2014.
  • Queens University, Algebraic Geometry Seminar. , Presented, 2014.
  • Presentation at the conference Birational Geometry and Foliations workshop. Held at the Hausdorff Research Institute for Mathematic. , Presented, 2014.
  • Colloquium, Mathematics Department, University of Utah. , Presented, 2014.
  • Colloquium, Mathematics Department, University of California at Davis. , Presented, 2014.
  • Colloquium, Mathematics Department, University of California at Irvine. , Presented, 2014.
  • Talk at the 2020 JMM, in a special session on commutative algebra. , Presented, 2020.
  • University of Michigan, Algebraic Geometry Seminar. , Presented, 2019.
  • John's Hopkins University, Algebraic Geometry Seminar. , Presented, 2019.
  • University of Hawaii AMS Meeting, Special Session on Commutative Algebra and its Environs, Honolulu Hawaii. , Presented, 2019.
  • University of North Texas AMS Meeting, Special Session on Commutative Algebra, Denton, Texas. , Presented, 2017.
    http://www.ams.org/meetings/sectional/2249_program...
  • Algebraic Geometry Seminar, University of Utah. , Presented, 2014.
  • Algebra and number theory seminar, Penn State University. , Presented, 2014.
  • Algebraic Geometry Seminar, University of Utah. , Presented, 2014.
  • Virtual joint mathematical meetings (JMM), special session on com- mutative algebra in positive characteristic. Other, Presented, 2021.

Grants, Contracts & Research Gifts

  • PART SUPP FOR 58502697. PI: - 2024. Total project budget to date:
  • ALGEBRA, GEOMETRY, & TOPOLOGY. PI: - 2024. Total project budget to date:
  • SINGULARITIES. PI: - 2021. Total project budget to date:
  • CAREER: TEST IDEALS AND THE... PI: - 2018. Total project budget to date:
  • FRG: COLLABORATIVE RESEARCH. PI: - 2017. Total project budget to date:
  • SCHWEDE SLOAN FELLOWSHIP. PI: - 2015. Total project budget to date:
  • Computational Workshop on Singularities and Invariants Defined by Frobenius (1160927). PI: - 2013. Total project budget to date:
  • Singularities in Characteristic Zero and Singularities in Positive Characteristic (1064485). PI: - 2013. Total project budget to date:
  • PostDoctoral Research Fellowship (0703505). PI: - 2011. Total project budget to date:

Software Titles

  • RandomRationalPoints. A package for finding rational and geometric points on algebraic varieties. Release Date: 2020. Inventors: Sankhaneel Bisui, Sarasij Maitra, Karl Schwede, Thai Thanh Nguyen. Distribution List: https://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/RandomRationalPoints.m2.
  • FastLinAlg. A Macaulay2 package that. Release Date: 2019. Inventors: Boyana Martinova, Marcus Robinson, Karl Schwede, Yuhui Yao. Distribution List: https://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/FastLinAlg.m2.
  • FrobeniusThresholds Package. A Macaulay2 package for computing F-(pure)-thresholds and related invariants. Release Date: 2018. Inventors: Erin Bela, Alberto F. Boix, Juliette Bruce, Drew Ellingson, Daniel Hernandez, Zhibek Kadyrsizova, Moty Katzman, Sara Malec, Matthew Mastroeni, Maral Mostafazadehfard, Marcus Robinson, Karl Schwede, Dan Smolkin, Pedro Teixeira, Emily Witt. Distribution List: https://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/FThresholds.m2.
  • Seminormalization. A Macaulay2 package for seminormalizing rings. Release Date: 2018. Inventors: Karl Schwede, Bernard Serbinowski. Distribution List: https://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/Seminormalization.m2.
  • TestIdeals. A package for computations of test ideals in positive characteristic rings. Release Date: 2017. Inventors: Erin Bela, Alberto F. Boix, David J. Bruce, Daniel Hernandez, Zhibek Kadyrsizova, Mordechai Katzman, Sara Malec, Karl Schwede, Pedro Teixeira and Emily Witt. Distribution List: https://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/TestIdeals.m2.
  • RationalMaps. A Macaulay2 package for computing rational maps. Release Date: 2016. Inventors: C.J. Bott, S. Hamid Hassanzadeh, Karl Schwede, AND Dan Smolkin.
  • Pullback. A Macaulay2 package for computing pullbacks in the category of rings. Release Date: 2015. Inventors: Drew Ellingson and Karl Schwede.
  • Divisor. A Macaulay2 package for doing computations with divisors in algebraic geometry. Release Date: 2014. Inventors: Karl Schwede, Zhaoning Yang. Distribution List: It is part of the Macaulay2 build tree on github.
  • PosChar. A Macaulay2 package for doing computations with F-singularities. Release Date: 2014. Inventors: Daniel Hernandez, Moty Katzman, Sara Malec, Karl Schwede, Pedro Teixeira and Emily Witt . Distribution List: The current version was uploaded to my website on June 10th 2014, earlier versions were available before this. http://www.math.utah.edu/~schwede/M2/PosChar.m2 This is not the final version by a long shot.