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Photo of Dr Oli Gregory

Dr Oli Gregory

Research Fellow


Office: Laver Building 608


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

Papers and preprints:

- O. Gregory, Torsion codimension 2 cycles on supersingular abelian varieties, to appear in the Canadian Math. Bull.

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

- O. Gregory, A. Langer, Hodge-Witt decomposition of relative crystalline cohomology, to appear in the J. London Math. Soc.

- 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).