Roger Casals

1. Microlocal Theory of Legendrian Links
   and Cluster Algebras,
   Roger Casals, Daping Weng,
   arXiv version (2022), 1–119.
   
   
2. Infinitely Many Lagrangian Fillings,
   Roger Casals, Honghao Gao,
   Annals of Math. 195 (2022), 207–249.
   
   
3. Legendrian Weaves,
   Roger Casals, Eric Zaslow,
   Geometry & Topology (2022), 1–116.
   
   
4. Non-simplicity of isocontact embeddings,
   Roger Casals, John Etnyre,
   Geom. Funct. Anal. (GAFA) 30 (2020), 1–33.
   
   
5. Geometric Criteria for Overtwistedness,
   Roger Casals, Emmy Murphy, F. Presas,
   J. Amer. Math. Soc. 32 (2019), 563–604.
   
   
6. Legendrian Fronts for Affine Varieties,
   Roger Casals, Emmy Murphy,
   Duke Math. Journal 168 (2019), 225–323.
   
   
7. Existence h-principle for Engel structures,
   R. Casals, J.L. Pérez, A. Pino, F. Presas,
   Inventiones Math. 210 (2017), 417–451.
   
   
8. Almost contact 5-folds are contact,
   R. Casals, D. Pancholi, F. Presas,
   Annals of Math. 182 (2015), 429–490.
   
   

1. Conjugate Fillings and Legendrian Weaves with W. Li (2022), 1–100. Submitted.
   
   
2. Microlocal Theory of Legendrian Links and Cluster Algebras with D. Weng (2022), 1–119. Submitted.
   
   
3. Cluster structures on Braid Varieties with E. Gorsky, M. Gorsky, I. Le, J. Simental, L. Shen (2022), 1–67. Submitted.
   
   
4. Stein Traces and Characterizing Slopes with J. Etnyre and M. Kegel (2021), 1–37. Submitted.
   
   
5. Positroid Links and Braid Varieties with E. Gorsky, M. Gorsky and J. Simental (2021), 1–57. Submitted.
   
   
6. Dynamical Quantization of Contact Structures, with G. Herczeg and A. Waldron (2021), 1–45. Submitted.
   
   
7. Algebraic Weaves and Braid Varieties with E. Gorsky, M. Gorsky and J. Simental (2020), 1–62. Submitted.
   
   
8. Infinitely Many Lagrangian Fillings, with H. Gao, Annals of Math. 195 (2022), 207–249.
   
   
9. Legendrian Weaves, with E. Zaslow, Geometry & Topology (2022), 1–116.
   
   
10. Full Ellipsoid Embeddings and Toric Mutations with R. Vianna, Selecta Math. (N.S.) 28 (2022), 1–62.
    
    
11. Braid Loops with infinite monodromy on the Legendrian contact DGA, with L. Ng, J. Topology (2022), 1–82.
    
    
12. Lagrangian Skeleta and Plane Curve Singularities, JFPTA Viterbo 60 Volume 24 (2021), 1–43.
    
    
13. Branched covering simply-connected 4-manifolds, with
    AiM Group,

    D. Auckly, R.I. Baykur, S. Kolay, T. Lidman, D. Zuddas

    MSP Open Book Ser. (2021), 1–11.
    
    
14. The Legendrian Whitney Trick with D. Pancholi and F. Presas, Geometry & Topology 25 (2021), 3229–3256.
    
    
15. Non-simplicity of isocontact embeddings with J. Etnyre, Geom. Funct. Anal. (GAFA) 30 (2020), 1–33.
    
    
16. Geometric Criteria for Overtwistedness, with E. Murphy and F. Presas, J. Amer. Math. Soc., 32 (2019), 563–604.
    
    
17. Transverse Universal Links, with J. Etnyre, Proc. Sympos. Pure Math 102 (2019), 43–56.
    
    
18. Loose Engel structures with A. del Pino and F. Presas, Compositio Math. 156 (2019), 412–434.
    
    
19. Legendrian Fronts for Affine Varieties, with E. Murphy, Duke Math. Journal 168 (2019), 225–323.
    
    
20. OT Disks and Exotic Symplectic Structures, Proc. Amer. Math. Soc. 148 (2019), 825–834.
    
    
21. Differential algebra of cubic planar graphs, with E. Murphy, Advances in Math. 338 (2018), 401–446.
    
    
22. Classification of Engel Knots, with A. del Pino, Math. Annalen 371 (2018), 391–404.
    
    
23. Symplectomorphisms of exotic discs, with A. Keating and I. Smith, J. École Polytechnique 5 (2018), 289–316.
    
    
24. Existence h-principle for Engel structures, with J.L. Pérez, A. del Pino and F. Presas, Inventiones Math. 210 (2017), 417–451.
    
    
25. Higher Maslov Indices, with V.L. Ginzburg and F. Presas, J. Geom. Phys. 115 (2017), 167–177.
    
    
26. Contact topology from the loose viewpoint, with E. Murphy, Gökova Geom. Top. 22 (2016), 81–115.
    
    
27. On the strong orderability of overtwisted 3-folds, with F. Presas, Comment. Math. Helv. 91 (2016), 305–316.
    
    
28. Small positive loops on overtwisted manifolds, with F. Presas and S. Sandon, J. Symp. Geom. 14 (2016), 1013–1031.
    
    
29. Chern-Weil theory and the group of strict contactomorphisms, with O. Spáčil, J. Topol. Anal. 8 (2016), 59–87.
    
    
30. Almost contact 5-folds are contact, with D. Pancholi and F. Presas, Annals of Math. 182 (2015), 429–490.
    
    
31. h-principle for 4-dimensional contact foliations, with A. del Pino and F. Presas, Int. Math. Res. Not. 20 (2015), 176–207.
    
    
32. Contact blow-up, with D. Pancholi and F. Presas, Exp. Math. 33 (2015), 78–100.
    
    
33. A Remark on the Reeb Flow for Spheres, with F. Presas, J. Symp. Geom. 12, 657–671.
    
    

1. Fall 2021: Contact and Symplectic Topology MAT-280


2. Fall 2020: Mathematical Quantum Mechanics MAT-265


3. Fall 2020: Introduction to Abstract Mathematics MAT-108


4. Winter 2020: Algebraic Topology II MAT-215B


5. Winter 2020: Euclidean and Non-Euclidean Geometry MAT-141


6. Fall 2019: Differential Equations MAT-22B


7. Winter 2019: Combinatorics MAT-145

• Contact and Symplectic Topology, Notices Amer. Math. Soc. (2021).
  
  
• Article in The Aggie, an Egghead Blog post and press release.
  


• Interview in El Mundo, RSME interview in their Magazine, and article on the Fundación BBVA.
  
  
• Interview in El Español and RTVE excerpt.
  


• Interview in Spanish National Radio, and Interview in Tiempo.
  


• Short video on the Vicent Caselles award and Award Ceremony on the Vincent Caselles.