Dr Paul Johnson

School of Mathematical and Physical Sciences

Lecturer in Pure Mathematics

paul.johnson@sheffield.ac.uk
+44 114 222 3775

Full contact details

Dr Paul Johnson
School of Mathematical and Physical Sciences
J6b
Hicks Building
Hounsfield Road
91Ö±²¥
S3 7RH
Profile

I received my PhD from the University of Michigan in 2009. I was a postdoc at Imperial College, london from 2009-2011, and an NSF postdoc at Columbia University from 2011-2013. I was an assistant professor at the Colorado State University from 2013-2014 before joining 91Ö±²¥ University in 2014.

Research interests

I study enumerative geometry, which aims to count geometric things, and leads to the interplay of geometry and combinatorics. Particular areas of focus are Gromov-Witten theory, which counts maps from curves into varieties, and Hilbert schemes of points on surfaces.

Publications

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All publications

Journal articles

  • Cavalieri R, Johnson P, Markwig H & Ranganathan D (2021) . Mathematical Proceedings of the Cambridge Philosophical Society, 171(1), 165-205. RIS download Bibtex download
  • Johnson P (2018) Lattice points and simultaneous core partitions. Electronic Journal of Combinatorics, 25(3). RIS download Bibtex download
  • Johnson P (2015) . Transactions of the American Mathematical Society, 367(9), 6415-6440. RIS download Bibtex download
  • Johnson P (2014) . Communications in Mathematical Physics, 327(2), 333-386. RIS download Bibtex download
  • Coates T, Gholampour A, Iritani H, Jiang Y, Johnson P & Manolache C (2012) THE QUANTUM LEFSCHETZ HYPERPLANE PRINCIPLE CAN FAIL FOR POSITIVE ORBIFOLD HYPERSURFACES. MATHEMATICAL RESEARCH LETTERS, 19(5), 997-1005. RIS download Bibtex download
  • Coates T, Gholampour A, Iritani H, Jiang Y, Johnson P & Manolache C (2012) . Mathematical Research Letters, 19(5), 997-1005. RIS download Bibtex download
  • Cavalieri R, Johnson P & Markwig H (2011) . Advances in Mathematics, 228(4), 1894-1937. RIS download Bibtex download
  • Johnson P, Pandharipande R & Tseng H-H (2011) . The Michigan Mathematical Journal, 60(1), 171-198. RIS download Bibtex download
  • Cavalieri R, Johnson P & Markwig H (2010) . Journal of Algebraic Combinatorics, 32(2), 241-265. RIS download Bibtex download

Chapters

  • Johnson P (2012) In Athorne C, Maclagan D & Strachan I (Ed.), Tropical geometry and integrable systems (pp. 55-72). American Mathematical Society RIS download Bibtex download

Conference proceedings papers

  • Cavalieri R, Johnson P, Markwig H & Ranganathan D (2018) (pp 139-167) RIS download Bibtex download
Research group

Algebra and Algebraic Geometry

Teaching activities
MAS332 Complex Analysis
MAS341 Graph Theory
MAS439 Commutative Algebra and Algebraic Geometry