Imperial College London

Dr Oli Gregory

Faculty of Natural SciencesDepartment of Mathematics

Heilbronn Research Fellow







615Huxley BuildingSouth Kensington Campus





I am a research fellow working in arithmetic geometry. More precisely, I work on p-adic cohomology and p-adic Hodge theory, with applications to mixed/positive characteristic geometry and arithmetic conjectures on algebraic cycles/K-theory/motivic cohomology. 

Papers and preprints:

- O. Gregory, Motivic cohomology and K-theory of some surfaces over finite fields, J. Pure Appl. Algebra, 228 (2023), no. 4, Paper No. 107518, 21 pp.

- O. Gregory, Torsion codimension 2 cycles on supersingular abelian varieties, Canad. Math. Bull. 66 (2023), no. 2, 458-466. 

- O. Gregory, A. Langer, Motivic cohomology of semistable varieties, submitted.

- O. Gregory, A. Langer, Hodge-Witt decomposition of relative crystalline cohomology, J. London Math. Soc., 106 (2022), 4009-4046.

- O. Gregory, Crystals of relative displays and Calabi-Yau threefolds, J. Number Theory, 237 (2022), 257-284.

- O. Gregory, A. Langer, Higher displays arising from filtered de Rham-Witt complexes, Arithmetic L-Functions and Differential Geometric Methods, 121–140, Progr. Math., 338, Birkhauser/Springer (2021).

- O. Gregory, A. Langer, Overconvergent de Rham-Witt cohomology for semistable varieties, Münster J. Math, no. 2, 541-571 (2020).

- O. Gregory, C. Liedtke, p-adic Tate conjectures and abeloid varieties, Doc. Math. 24, 1879-1934 (2019).

- O. Gregory, Crystals of relative displays and Grothendieck-Messing deformation theory, PhD thesis.

Other writing:

Here is my 2014 Cambridge Part III essay, Higher regulators of number fields, written under the supervision of Tony Scholl. It is an exposition of A. Borel's Cohomology de SL(n) et valeurs de fonctions zeta aux points entiers, Ann. Sc. Norm. Super. Pisa 4 (1977).