- S. Feyzbakhsh and R. P. Thomas,
Rank
*r*DT theory from rank 1, preprint.

- S. Feyzbakhsh and R. P. Thomas,
Rank
*r*DT theory from rank 0, preprint.

- J. Oh and R. P. Thomas,
Counting sheaves on Calabi-Yau 4-folds, I, preprint.

- S. Feyzbakhsh and R. P. Thomas,
Curve counting and S-duality, preprint.

- S. Feyzbakhsh and R. P. Thomas, with an appendix by C. Voisin,
An application of wall-crossing to Noether-Lefschetz loci, Quarterly Journal of Math.
**72**, 51-70, 2021. Issue dedicated to the memory of Sir Michael Atiyah.

- A. Gholampour and R. P. Thomas,
Degeneracy loci, virtual cycles and nested Hilbert schemes II, Compositio
**156**, 1623-1663, 2020.

- R. P. Thomas,
A K-theoretic Fulton class, to appear in "
*Facets of Algebraic Geometry: A Volume in Honour of William Fulton's 80th Birthday*", Cambridge University Press, 2022.

- R. P. Thomas,
Equivariant K-theory and refined Vafa-Witten invariants, Comm. Math. Phys.
**378**, 1451-1500, 2020.

- V. Muñoz, I. Smith and R. P. Thomas, Eds. Modern Geometry: A Celebration of the Work of Simon Donaldson, AMS 2018.

- T. de Fernex, B. Hassett, M. Mustaţă, M. Olsson, M. Popa and R. P. Thomas, Eds. Algebraic Geometry: Salt Lake City 2015, AMS 2018.

- D. Maulik and R. P. Thomas,
Sheaf counting on local K3 surfaces, Pure Appl. Math. Quart.
**14**, 419-441, 2018.

- A. Gholampour and R. P. Thomas,
Degeneracy loci, virtual cycles and nested Hilbert schemes I, Tunisian Jour. Math.
**2**, 633-665, 2020.

- Y. Tanaka and R. P. Thomas,
Vafa-Witten invariants for projective surfaces II: semistable case, Pure Appl. Math. Quart.
**13**, 517-562, 2017. Volume in honour of Simon Donaldson's 60th birthday.

- Y. Tanaka and R. P. Thomas,
Vafa-Witten invariants for projective surfaces I: stable case, Jour. Alg. Geom.
**29**, 603-668, 2020.

- M. Kool and R. P. Thomas,
Stable pairs with descendents on local surfaces I: the vertical component, Pure Appl. Math. Quart.
**13**, 581-638, 2017.

- R. P. Thomas,
Notes on HPD, in "Algebraic Geometry: Salt Lake City 2015", AMS, 2018.

- R. Pandharipande and R. P. Thomas,
Notes on the proof of the KKV conjecture, Surveys in Differential Geometry
**21**, 289-311, ed. S.-T. Yau. International Press, 2016.

- E. Segal and R. P. Thomas,
Quintic threefolds and Fano elevenfolds, J. reine angew. Math.
**243**, 245-259, 2018.

- J. Calabrese and R. P. Thomas,
Derived equivalent Calabi-Yau 3-folds from cubic 4-folds.
Math. Ann.
**365**, 155-172, 2016.

- Y. Jiang and R. P. Thomas,
Virtual signed Euler characteristics, Jour. Alg. Geom.
**26**, 379-397, 2017.

- S. Katz, A. Klemm and R. Pandharipande, with an Appendix by R. P. Thomas, On the motivic stable pairs invariants of K3 surfaces, in
*K3 surfaces and their moduli,*eds. C. Faber, G. Farkas, and G. van der Geer, Birkhauser Prog. in Math.**315**, 111-146, 2016.

- R. Pandharipande and R. P. Thomas,
The Katz-Klemm-Vafa conjecture for K3 surfaces, Forum of Math, Pi
**4**, 1-111, 2016.

- A. Gholampour, A. Sheshmani and R. P. Thomas,
Counting curves on surfaces in Calabi-Yau 3-folds, Math. Annalen.
**360**, 67-78, 2014.

- Y. Odaka and R. P. Thomas,
Separatedness of moduli of K-stable varieties, withdrawn due to technical issue not yet fixed.

- N. Addington and R. P. Thomas,
Hodge theory and derived categories of cubic fourfolds, Duke Math Jour.
**163**, 1885-1927, 2014.

- R. Pandharipande and R. P. Thomas,
Almost closed 1-forms, Glasgow Math. Jour.
**56**, 169-182, 2014.

- M. Kool and R. P. Thomas,
Reduced classes and curve counting on surfaces II: calculations, Algebraic Geometry
**1**, 384-399, 2014.

- M. Kool and R. P. Thomas,
Reduced classes and curve counting on surfaces I: theory, Algebraic Geometry
**1**, 334-383, 2014.

- L. Brambila-Paz, P. Newstead, O. Garcia-Prada, R. P. Thomas, Eds.
Moduli spaces.
Cambridge University Press, 2014.

- R. Pandharipande and R. P. Thomas,
13/2 ways of counting curves, in Moduli spaces,
eds L. Brambila-Paz, P. Newstead, O. Garcia-Prada, R. P. Thomas. CUP, 2014.

- M. Kool, V. Shende and R. P. Thomas,
A short proof of the Göttsche
conjecture, Geometry & Topology
**15**, 397-406, 2011. - I. Smith and R. P. Thomas, Khovanov homology from ALE spaces, never-to-appear, unfinished preprint.
- R. P. Thomas, An exercise in mirror symmetry. Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.
- D. Maulik, R. Pandharipande and R. P. Thomas,
Curves on K3 surfaces and modular forms, with an Appendix by A. Pixton. Journal of Topology
**3**, 937-996, 2010. - J. Ross and R. P. Thomas,
Weighted projective embeddings, stability of orbifolds and constant scalar curvature
Kähler metrics, Jour. Diff. Geom.
**88**, 109-160, 2011. - J. Ross and R. P. Thomas,
Weighted Bergman kernels on orbifolds, Jour. Diff. Geom.
**88**, 87-108, 2011. - J. Stoppa and R. P. Thomas,
Hilbert schemes and stable pairs: GIT and derived category wall crossings,
Bull. SMF.
**139**, 297-339, 2011. - S. Rollenske and R. P. Thomas,
Smoothing nodal Calabi-Yau n-folds, Journal of Topology
**2**, 405-421, 2009. - D. Huybrechts and R. P. Thomas,
Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer
classes, Math. Ann.
**346**, 545--569, 2010. - R. Pandharipande and R. P. Thomas, Stable pairs and BPS invariants, Jour. AMS.
**23**, 267-297, 2010. - R. Pandharipande and R. P. Thomas, The 3-fold vertex via stable pairs, Geometry & Topology
**13**, 1835-1876, 2009. - R. Pandharipande and R. P. Thomas, Curve counting via stable pairs in the derived category,
Inventiones
**178**, 407-447, 2009. - M. Khovanov and R. P. Thomas, Braid cobordisms, triangulated categories, and flag varieties,
Homology, Homotopy and Applications
**9**, 19-94, 2007. - R. P. Thomas, Notes on GIT and symplectic reduction for bundles and varieties, Surveys in Differential Geometry
**10**, 221-273, ed. S.-T. Yau. International Press, 2006. - D. Huybrechts and R. P. Thomas,
**P**-objects and autoequivalences of derived categories, Math. Res. Lett.**13**, 87-98, 2006. - J. Ross and R. P. Thomas, A study of the
Hilbert-Mumford criterion for the stability of projective varieties,
Jour. Alg. Geom.
**16**, 201-255, 2007. - J. Ross and R. P. Thomas, An obstruction to the
existence of constant scalar curvature Kähler metrics, Jour. Diff. Geom.
**72**, 429-466, 2006. - R. P. Thomas, The geometry of mirror symmetry, in Encyclopaedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006.
- B. Khesin, A. Rosly and R. P. Thomas, A Polar de Rham Theorem,
Topology
**43**, 1231-1246, 2004. - R. P. Thomas, Stability conditions and
the braid group, Communications in Analysis and Geometry
**14**, 135-161, 2006. - R. P. Thomas, Nodes and the Hodge
conjecture, Jour. Alg. Geom.
**14**, 177-185, 2005. - I. Smith and R. P. Thomas, Symplectic surgeries from singularities, Proceedings of Ninth Gökova Geometry/Topology Conference, 2002.
- H. Clemens, with appendices by R. P. Thomas and C. Voisin,
Cohomology and
obstructions II: curves on K-trivial threefolds. J. Algebraic Geom.
**14**, 705--739, 2005. - I. Smith, R. P. Thomas and S.-T. Yau, Symplectic conifold
transitions, Jour. Diff. Geom.
**62**, 209-242, 2002. - R. P. Thomas and S.-T. Yau, Special Lagrangians,
stable bundles and mean curvature flow , Communications in Analysis
and Geometry
**10**, 1075-1113, 2002. - R. P. Thomas, Moment maps, monodromy
and mirror manifolds. In
*"Symplectic geometry and mirror symmetry"*, eds K. Fukaya, Y.-G. Oh, K. Ono and G. Tian. World Scientific, 2001, 467-498. - Hori, K., Katz, S., Klemm, A., Pandharipande, R., Thomas,
R. P., Vafa, C., Vakil, R. and Zaslow, E. Mirror
symmetry, Clay Mathematics Monographs
**1**, AMS, 2003. - P. Seidel and R. P. Thomas, Braid group actions on
derived categories of sheaves, Duke Math. Jour.
**108**, 37-108, 2001. - R. P. Thomas, Examples of bundles on
Calabi-Yau 3-folds for string theory compactifications, Adv. Theor.
Math. Phys.
**4**, 231-247, 2000. - R. P. Thomas, Mirror symmetry and
actions of braid groups on derived categories. In
*"Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds"*, January 1999, eds C. Vafa and S.-T. Yau. AMS/IP Studies in Advanced Mathematics (International Press, Cambridge MA), 2001, 363-377. - R. P. Thomas, Derived categories for
the working mathematician. In
*"Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds"*, January 1999, eds C. Vafa and S.-T. Yau. AMS/IP Studies in Advanced Mathematics (International Press, Cambridge MA), 2001, 349-361. - R. P. Thomas, An obstructed bundle on
a Calabi-Yau 3-fold, Adv. Theor. Math. Phys.
**3**, 567-576, 1999. - R. P. Thomas, A holomorphic Casson
invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations, Jour.
Diff. Geom.
**54**, no. 2, 367-438, 2000. - S. K. Donaldson and R. P. Thomas, Gauge theory in higher
dimensions, in
*"The Geometric Universe; Science, Geometry, And The Work Of Roger Penrose"*, Oxford University Press, 1998. Why I love Steven Bradlow. - R. P. Thomas, Gauge theories on Calabi-Yau manifolds, D. Phil. Thesis, University of Oxford, 1997.
- R. P. Thomas, Seiberg-Witten equations on complex 3-folds, First Year dissertation, large parts of which are wrong, 1995.
- Some LMS reports: Mary Cartwright Lecture 2002, Hodge Theory in a New Century 2003, Random Surfaces 2008 and The Work of Simon Donaldson 2018.
- MSRI newsletter: Enumerative geometry beyond numbers 2018.