Welcome to my research page! If you have to choose one must-read paper among my list, take this one. I also wrote a list of open questions I would like to see solved. Damir Dzhafarov maintains a reverse mathematics zoo.

- K. Yokoyama, L. Patey.
The proof-theoretic strength of Ramsey's theorem for pairs and two colors

*Advances in Mathematics*, to appear. - D. D. Dzhafarov, L. Patey.
Coloring trees in reverse mathematics

*Advances in Mathematics*, 318 (2017), 497--514. - L. Patey. Partial orders and immunity in reverse mathematics

*Computability*, to appear. - L. Patey. The reverse mathematics of non-decreasing subsequences

*Archive for Mathematical Logic*, 56 (2017), no. 5-6, 491--506. - L. Patey.
Dominating the Erdos-Moser theorem in reverse mathematics

*Annals of Pure and Applied Logic*, 168 (2017), no. 6, 1172--1209. - B. Monin, L. Patey.
Pi01 encodability and omniscient reductions

*Notre Dame Journal of Formal Logic*, to appear. - L. Bienvenu, L. Patey,
and P. Shafer

On the logical strengths of partial solutions to mathematical problems

*Transactions of the London Mathematical Society*, 4 (2017), no. 1, 30--71.

*Previously named A Ramsey-type König's lemma and its variants* - E. Frittaion and L. Patey.
Coloring the rationals in reverse mathematics

*Computability*, 6 (2017), no. 4, 319--331. - D. D. Dzhafarov,
L. Patey,
D. R. Solomon
and L. B. Westrick.

Ramsey's theorem for singletons and strong computable reducibility

*Proceedings of the AMS*, 145 (2017), no. 3, 1343--1355. - L. Patey.
The weakness of being cohesive, thin or free in reverse mathematics

*Israel Journal of Mathematics*, 216 (2016), no. 2, 905--955.

*Previously named Dissent within cohesiveness in reverse mathematics* - L. Bienvenu
and L. Patey. Diagonally non-computable functions and fireworks

*Information and Computation*, 253 (2017), part 1, 64--77. - L. Patey.
Controlling iterated jumps of solutions to combinatorial problems

*Computability*, 6 (2017), no. 1, 47--78. - L. Patey.
Open questions about Ramsey-type statements in reverse mathematics

*Bulletin of Symbolic Logic*, 22 (2016), no. 2, 151--169. - L. Patey.
The strength of the tree theorem for pairs in reverse mathematics

*Journal of Symbolic Logic*, 81 (2016), no. 4, 1481--1499. - L. Patey.
Iterative forcing and hyperimmunity in reverse mathematics

*Computability*, 6 (2017), no. 3, 209--221. - L. Patey. Ramsey-type graph coloring and diagonal non-computability

*Archive for Mathematical Logic*54 (2015), no. 7-8, 899--914 - L. Patey.
Degrees bounding principles and universal instances in reverse mathematics

*Annals of Pure and Applied Logic*166 (2015), no. 11, 1165--1185. - L. Patey.
The complexity of satisfaction problems in reverse mathematics

*Computability*, 4(1):69–84, 2015.

- L. Patey.
Partial orders and immunity in reverse mathematics

*Computability in Europe 2016* - L. Patey.
Iterative forcing and hyperimmunity in reverse mathematics

*Computability in Europe 2015*(Best student paper award) - L. Patey.
The complexity of satisfaction problems in reverse mathematics

*Computability in Europe 2014*(Best student paper award) - G. Bisson, L. Patey.
Les «arbres empilés»: une nouvelle approche pour la visualisation des grands dendrogrammes.
*Actes de la conférence IHM'09, :7, Grenoble, oct 2009.*

- The Rado path decomposition theorem

*with Peter Cholak, Gregory Igusa, Mariya Soskova, and Dan Turetsky (pdf)*

- The role of randomness in reverse mathematics
*with L. Bienvenu and P. Shafer* - Pigeons do not jump high (simplified version)
*with B. Monin*(draft) - Combinatorial weaknesses of Ramseyan principles (draft)
- On the strictness of Ramsey-type hierachies in reverse mathematics

- L. Patey. The reverse mathematics of Ramsey-type theorems
*Ph.D thesis. 2016* - L. Patey. Somewhere over the rainbow Ramsey theorem for pairs. Not worthy paper. 2015
- L. Patey. A note on "Separating principles below Ramsey's theorem for pairs" 2013
- L. Patey.
Reverse Mathematics and a Weak Ramsey-Type König’s Lemma.
*Internship report. 2012* - L. Patey.
CPS Transformation of Lisp-Like Multi-Staged Languages
*Extended version. 2011* - L. Patey. Eternity II et variantes.
*Internship report. 2010*