Curriculum Vitae
Fourier Integral Operators and Pseudo-differential operators.
PDE , Control Theory and Harmonic Analysis, Spectral Theory and Index theory, Geometric Analysis.
Visit our intercontinental research group on non-commutative phase space analysis at Imperial College - London here.
Visit our intercontinental research group in Analysis and PDE centred at the Ghent University here.
FWO Postdoctoral Fellowship, 2023-2026. Awarded by the Research Foundation - Flanders (Fonds Wetenschappelijk Onderzoek - Vlaanderen, FWO).
President of the Scientific Board for the ICMAM Latin America 2022-2024.
Reviewer (Par evaluador) for the Ministry of Sciences, Technology, and Innovation of Colombia. Colombian Science Ministry, 2020-.
Honorable mention of the Yu-Takeuchi Prize (awarded by the Colombian Academy of Sciences), Academia Colombiana de Ciencias Exactas, Físicas y Naturales, Dec- 03- 2018, Bogotá-Colombia.
Silver Medal at Olimpiada Universitaria de Matemáticas, UAO-Colombia, 2009.
Member of the Editorial Committee, Selecciones Matemáticas, 2024-now.
Assistant Editor. Book Series: Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser/Springer, 2023-now.
2023-2026. Postdoctoral Fellow of the Research Foundation – Flanders (FWO) at Ghent University; Krijgslaan 281, Building S8, B 9000 Ghent-Belgium.
2019-2023. Doctoral student. Ghent University. Department of Mathematics: Analysis, Logic and Discrete Mathematics. Ghent-Belgium.
24 April-29 July, 2022. Research Internship. Chair of Computational Mathematics at Deusto Institute of Technology, Bilbao, Basque Country (Spain).
2017-2018. Lecturer. Pontificia Universidad Javeriana. Mathematics Department. Bogotá-Colombia.
2014-I/2015-2017. Graduate Assistant. Universidad de los Andes. Mathematics Department. Bogotá-Colombia. Courses: Integral calculus and Linear algebra; work: Besov boundedness of global pseudo-differential operators on compact Lie groups. Advisor: Alexander Cardona. Universidad de los Andes. Jury: Alexander S. Getmanenko (Universidad de los Andes), Jairo Hernández (Universidad del Norte).
2008-2013. Student/Bachelor. Universidad del Valle. Cali- Colombia.
Doctor of Science: Mathematics (Doctor in de Wetenschappen: wiskunde). Ghent University, Belgium. 2023.
Advisor: Prof. Dr Michael Ruzhansky. Co-Advisor: Prof. Dr Julio Delgado.
Thesis: Contributions to the theory of pseudo-differential operators: from compact to graded Lie groups. Video of my defense.
Jury: Elmar Schrohe (Leibniz Universität Hannover), Sylvie Paycha (Universität Potsdam), Simon Scott (King's College London), Hans Vernaeve (Ghent University), Denis Constales (Ghent University), Bart De Bruyn (Ghent University).Bachelor in Mathematics. Universidad del Valle. Cali- Colombia. 2015.
Advisor: Julio Delgado. Imperial College London, 2012-2019. (Current address: Universidad del Valle).
Thesis: Invertibilidad de operadores pseudo-diferenciales no elípticos.
Jury : José Raúl Quintero (Universidad del Valle), Guillermo Restrepo Sierra (in memoriam). Score: Meritorious.
Board member of the International Society for Analysis, its Applications and Computation (ISAAC).
(2023-2026) Working Group Member of CaLISTA, COST Action CA21109 “Cartan Geometry, Lie, Integrable Systems, quantum group Theories for Applications”, European Cooperation in Science & Technology, Horizon 2020, European Union.
Board Member ICMAM Latin America, 2022- now.
(2021-∞) Life Member of the ISAAC, (International Society for Analysis, its Applications and Computation).
(2022-now). Member of the ISAAC Group in Partial Differential Equations.
(2021-now). Member of the BMS (Belgian Mathematical Society).
(2023-now). Board Member of ICMAM for Central America and the Caribbean.
Web of Science Researcher ID: AAE-9714-2020.
ORCID ID: 0000-0002-8148-2624.
Selected Books/Memoirs:
Cardona, D., Ruzhansky, M. Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups, to appear in MSJ Memoirs, Mathematical Society of Japan, arXiv:2008.09651.
Selected Manuscripts/Scientific Reports:
Cardona, D. L2-Maximal functions on graded Lie groups, to appear in IMRN (Int. Math. Res. Not.) arXiv:2401.10830.
Cardona, D., Delgado, J., Ruzhansky, M. Boundedness of the dyadic maximal function on graded Lie groups, to appear in Quart. J. Math. arXiv:2301.08964.
Cardona, D. Ruzhansky, M. Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups, Math. Z. 302, 1957–1981 (2022) arXiv:2205.03456.
Cardona, D., Federico, S., Ruzhansky, M. Subelliptic sharp Gårding inequality on compact Lie groups., to appear in Pure Appl. Anal. arXiv:2110.00838
Cardona, D., Delgado, J., Ruzhansky, M. A note on the local Weyl formula on compact Lie groups, to appear in J. Lie Theory, arXiv:2210.00311.
Cardona, D. Ruzhansky, M. Oscillating singular integral operators on compact Lie groups revisited., Math. Z. Vol. 303, 26 (2023) arXiv:2202.10531
Cardona, D, Ruzhansky, M. Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups., to appear in Potential Analysis, arXiv:1610.04701
Cardona, D., Delgado, J., Ruzhansky, M. Drift diffusion equations with fractional diffusion on compact Lie groups. J. Evol. Equ. No. 22, Vol. 84, (2022). arXiv:2205.02320
Cardona, D., Ruzhansky, M. Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators., Vol. 119, 189–198 (2022). Arch. Math. arXiv:2104.09695.
Cardona, D., Delgado, J., Ruzhansky, M. Lp-bounds for pseudo-differential operators on graded Lie groups. J. Geom. Anal. Vol. 31, 11603-11647, (2021). arXiv:1911.03397
Cardona D., Delgado J., Grajales, B., Ruzhansky M. Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, Commun. Pure Appl. Anal., Vol. 22(11), 3295-3329, (2023). arXiv:2301.08999.
Cardona, D., Esquivel, L. On the Benjamin Ono equation in the half line., Nonlinear Analysis. Vol. 212, Art. 112427, (2021). arXiv:2101.06992
Cardona, D., Kumar, V. The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory., Math. Nachr. Vol. 294(9), 1657-1683, (2021). arXiv:1901.10010
Cardona, D. Nuclear pseudo-differential operators in Besov spaces on compact Lie groups. J. Fourier Anal. Appl. Vol 23(5), (2017), 1238-1262. arXiv:1610.09042
Cardona, D. On the boundedness of periodic pseudo-differential operators. Monatsh. Math. Vol. 185(2), 189-206, (2018). arXiv:1701.08184
25 April-29 July, 2022: Chair of Computational Mathematics of Deusto Foundation at University of Deusto and Deusto Institute of Science and Technology, Bilbao (Basque Country, Spain). Mentor: Prof. Dr. Enrique Zuazua.
September 2016: Mathematics Department, Imperial College of Science and Technology, London-UK. Mentor: Prof. Dr. Michael Ruzhansky.
Plenary at the Tbilisi Analysis & PDE Workshop 2023 (TAPDE2023), August 30-September 02, 2023. The University of Georgia, Tbilisi. Georgian Mathematical Union. Talk: Regularity properties of Fourier Integral Operators: Old and New.
Plenary at the 21st Annual Workshop on Applications and Generalizations of Complex Analysis, Aveiro, March 24-25, 2023, Paula Cerejeiras, Milton Ferreira, Uwe Kähler, Nelson Vieira, University of Aveiro, Portugal. Talk: A mathematical time machine to visit the past, present, and future of the theory of pseudo-differential operators.
Conference Grant: 34th Brazilian Mathematics Colloquium, IMPA (Institute of Pure and Applied Mathematics), Rio de Janeiro, Brazil. July 24-28.
Conference Grant: Conference Harmonic Analysis and Partial Differential Equations (on the occasion of 60th birthday of Herbert Koch), Hausdorff Center for Mathematics, Bonn-Germany, May 29-June 2 2023.
Research Internship. (Supported by ERC-Advanced Grant DyCon Project 2015 H2020-694126). Chair of Computational Mathematics, University of Deusto/Deusto Foundation, Bilbao, Basque Country (Spain), 2022. My webpage for the DyCon Project is available here!
Heidelberg Laureate Forum Grant: Young researcher, Heidelberg Laureate Forum. Event organized by the Heidelberg Laureate Forum Foundation (HLFF), Germany. 2021.
Heidelberg Laureate Forum Grant: Young researcher, Heidelberg Laureate Forum. Event organized by the Heidelberg Laureate Forum Foundation (HLFF), Germany. 2020.
Proyecto semilla. Young researcher grant, Faculty of Sciences, Universidad de Los Andes, Bogotá-Colombia. 2016.
ICMAM Latin America Satellite Conference on Data Science, AI and Machine Learning. Member of the Scientific Board. Speakers: Enrique Zuazua, Macarena Estevez, Camelia Goga, Biswaranjan Senapati.
ICMAM Latin America Satellite Conference on Analysis and PDE 2023, 10-14 October 2023. Chair of the Organising Committee. Speakers: Charles Fefferman, Monica Visan, Tobias Colding, Felipe Linares, Michael Ruzhansky (Explore the complete list here!)
ICMAM Latin America Satellite Conference on Algebra, Combinatorics and Number Theory 2023, 27-29 September 2023. President of the Scientific Board. Speakers: Emanuel Carneiro, Kristin Lauter, Cesar Ceballos (Explore the complete list here!)
ICMAM 2022 Latin America: International Conference: Multidisciplinary Aspects in Mathematics and its applications, 25-28 October 2022. Universidad del Valle. Department of Mathematics. Plenary: Terence Tao, Michael Ruzhansky, David Dos Santos Ferreira, Enrique Zuazua, Simon Donaldson, Carlos Kenig, Tatiana Toro, Harald Helfgott.
International Conference on Pseudo-differential Operators, 7-8 July 2020, Ghent Analysis & PDE Center (organising committee: D. Cardona, M. Chatzakou, S. Federico, J. Huang, B. Sabitbek, D. Rottensteiner, M. Ruzhansky), Ghent-Belgium.
Mathematics & Memory: A seminar on Analysis and PDE for Latin America (Starting from March 2024).
Ghent Methusalem Microlocal Day #9: 5 March 2024.
Ghent Geometric Analysis Seminar at Ghent University (Starting from April of 2022). Organisers: Duván Cardona, Gihyun Lee, David Santiago Gómez Cóbos.
Ghent Methusalem Junior Seminar at Ghent University (February 2021/March 2023).
Ghent Methusalem Microlocal Day #8: 17 February 2023. Ghent University. Organisers: D. Cardona & B. Grajales. Previous Microlocal days at the Imperial College London and at Ghent university: #1 #2 #3 #4 #5 #6 #7 .
CONVImaTE 2022. Winter courses on pure and applied mathematics. (Big Data, PDE and Pseudo-differential Operators. Chair. Organisers: Julio Delgado, Duván Cardona, Karina Navarro, Liliana Esquivel. Open virtual version for Latin-America. Department of Mathematics, Universidad del Valle, Cali-Colombia.
Universidad del Valle, Cali-Colombia. MV-Semisimple algebras and completely regular topological spaces. (Title in Spanish: MV-Álgebras semisimples y espacios topológicos completamente regulares); by Celimo Alexander Peña Rengifo, 2023; Advisor: Guillermo Órtiz Rico.
Selected talks:
Invited Lecture: Analysis, PDEs and Applications, Summer School and Conference, June 24 - July 6, 2024, Yerevan, Armenia.
Invited Lecture: Dispersion and Geometry in Padova, May 6-7, 2024, Padova, Italy.
“Pseudo-Differential Operators and Related Topics” 2024. Invited talk. 29 January – 2 February 2024. Talk: The weak (1,1) type of Fourier integral operators with complex phases. Ghent Analysis & PDE Center, Ghent University, Belgium.
34th Brazilian Mathematics Colloquium, IMPA (Institute of Pure and Applied Mathematics), Rio de Janeiro, Brazil. July 24-28. Talk: Continuity properties of some operators arising in non-commutative harmonic analysis. Session: Fourier analysis, complex analysis and applications to partial differential equations.
14th International Congress of the International Society for Analysis, its Applications and Computation (ISAAC). Talk: Continuity properties of some operators arising in non-commutative harmonic analysis. 17-22 July 2023. Riberao-Preto, Brazil.
17th International Young Researchers Workshop on Geometry, Mechanics and Control. Wednesday 29 to Friday 31 March 2023, KU Leuven (Belgium) Organisers: Tom Mestdag (University of Antwerp), Gabriel Sevestre (KU Leuven), Karandeep Singh (KU Leuven), Vanhoolant Isabelle (KU Leuven), Marco Zambon (KU Leuven).
Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam, February 20-24, 2023. Talk. Organisers: Sylvie Paycha (Potsdam), Wolfram Bauer (Hannover), Chand Devchand (Potsdam), Jörg Seiler (Torino), Ingo Witt (Göttingen).
Video of the talk Here!Conference on Noncommutative Analysis and PDEs 29-30 November 2022, Queen Mary University of London. Control theory for diffusion models on compact manifolds. 29 November 2022. Hardy Room, De Morgan House, London Mathematical Society.
11th International Conference on Harmonic Analysis and Partial Differential Equations. El Escorial, Madrid, 6-10 June 2022. On the boundedness of oscillating singular integrals on Lie groups of polynomial growth. Organisers: Davide Barbieri, José Conde Alonso, Daniel Faraco, Jose García-Cuerva, Gustavo Garrigós, Eugenio Hernández, José María Martell, Javier Parcet, Javier Ramos, Keith Rogers, Ana Vargas.
Slides Here!SUMS 2022 Math and Puzzles. University of Brown, US. Symmetries, cubes and singular integrals. Keywords: Combinatorics, Euclidean Geometry, Singular Integrals. 19 March 2022. Organisers: Herbert Kociemba (Darmstadt, Germany), Daniel Katz (Brown), Tanya Khovanova (MIT), and Pete Winkler (Dartmouth).
38th South Eastern Analysis Meeting. University of Florida, US. On the boundedness of oscillating singular integrals (on compact Lie groups). 5-6 March 2022. Organisers: James Pascoe, Michael Jury, Scott McCullough, University of Florida, US.
International Conference: Microlocal and Global Analysis, Interactions with Geometry University of Potsdam, Germany. 21-25 February 2022. Dixmier traces and Wodzicki residues on compact Lie groups: the paradigm of the global quantisation. (Organising committee: Wolfram Bauer (Hannover), Sylvie Paycha (Potsdam), Jörg Seiler (Torino), Bert-Wolfgang Schulze (Potsdam), Ingo Witt (Göttingen)).
(Video of the talk here!)The 17th Prairie Analysis Seminar. Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Kansas State University, Manhattan, KS. November 5-6, 2021. Organising committee: Diego Maldonado (K-State), Dionyssis Mantzavinos (KU), Virginia Naibo (K-State), Shuanglin Shao (KU).
(Video of the talk here!)International Workshop on Operator Theory and its Applications (IWOTA). Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Session: Spectral theory and differential operators. Lancaster University, UK. August 16-20, 2021. Organising committee: Malcolm Brown (Cardiff, UK), Ian Wood (Kent, UK) and Andrii Khrabustovskyi (Graz, Austria).
Title and abstract.13th International Congress of the International Society for Analysis, its Applications and Computation (ISAAC). Global theory of subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups.Slides Here! (The slides of the talk of M. Ruzhanksy at the Microlocal Conference at Potsdam University in 2022 about this work are available here! and the video of the talk is available here!)
Joint talk for the sessions: Harmonic Analysis and PDEs (click here) (Organisers: Vladimir Georgiev, Michael Ruzhansky and Jens Wirth). Generalized Functions and Applications (click here). (Organisers: Michael Kunzinger and Marko Nedeljkov). Pseudo-differential operators (click here!) (Organiser: Man Wah Wong). August 2-6, 2021.Segundo encuentro internacional de Investigación, Ciencia, Tecnología e Innovación, 2020. Fourier analysis: Past, Present and Future. FABA-Universidad de Santander, Colombia. YouTube version here!
International Conference, Microlocal analysis in interaction with geometry and physics. Global theory of subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. Institute of Mathematics, Potsdam University, Germany. 15-19 February 2021, (Organising committee: Wolfram Bauer (Hannover), Sylvie Paycha (Potsdam), Jörg Seiler (Torino), Alfonso Garmendia (Potsdam), Bert-Wolfgang Schulze (Potsdam), Ingo Witt (Göttingen)). Link to video of the conference here!
CONVImaTe 2021. Sobre la conjetura del disco en grupos de Lie graduados: Avances recientes, 20-22 January 2021. Department of Mathematics, Universidad del Valle, Cali-Colombia (Organising committee: D. Torres., E. Castano., S. Troncoso).
Encuentro Nororiental de Matemáticas. Teoría de operadores pseudo-diferenciales. 18-20 November 2020. Department of Mathematics. Universidad de Pamplona, Colombia.
International conference: Multidisciplinary Aspects in Mathematics and its applications. Global pseudo-differential operators on compact Lie groups., 29-31 August 2020. Universidad del Valle. Department of Mathematics. YouTube version here!
Virtual Heidelberg Laureate Forum, September 21–25, 2020. Heidelberg Laureate Forum Foundation (HLFF), Germany, Poster presentation.
International Conference on noncommutative analysis, Subelliptic pseudo-differential operators on compact Lie groups. Blitz talk. 18-20 August 2020, Ghent University & PDE Center, Belgium. See YouTube version here!
International Conference on Pseudo-differential Operators. Lp-bounds for pseudo-differential operators on graded Lie groups. Blitz talk. 7-8 July 2020, Ghent Analysis & PDE Center, Belgium. See YouTube version here!
Primer encuentro internacional de Investigación, Ciencia, Tecnología e Innovación. Análisis matemático en el procesamiento de imágenes médicas. Ponencia. 2020. FABA-Universidad de Santander, Colombia. See YouTube version in Spanish here!
Colombian Congress of Mathematics. Fourier multipliers in Besov spaces, Talk. Colombian Mathematical Society. Universidad Nacional de Colombia. Bogotá- Colombia. (2017)
International Conference on Analysis and Partial Differential Equations. Global pseudo-differential operators on Besov spaces defined in compact Lie groups. Imperial College London. Sept 26-30. London - UK. (2016) Supported by Imperial College London, Department of Mathematics.
Colombian Congress of Mathematics. Invertibilidad de multiplicadores de Fourier. Talk. Colombian Mathematical Society. Universidad Nacional de Colombia. Manizales-Colombia. (2015)
Colombian Congress of Mathematics. Operadores pseudodiferenciales definidos en medidas de Borel. Talk. Colombian Mathematical Society. Universidad del Norte. Barranquilla-Colombia. (2013)
Seminario de Posgrado. The proof of the L2 Decoupling Conjecture (Bourgain, et. al). Departamento de Matemáticas. Universidad de los Andes. Bogotá-Colombia. August 2018.
Coloquio del Departamento de Matemáticas. Operadores globales nucleares en espacios de Besov. Pontificía Universidad Javeriana. Bogotá-Colombia. August 2016.
Mathematical Reviews/MathSciNet. American Mathematical Society (AMS), [ISSN: 2167-5163 ], 2019-.
Zentralblatt MATH/ European Mathematical Society (EMS)/ FIZ Karlsruhe/ Heidelberg Academy of Sciences, [ISSN: 1436-3356] 2020-.
The peer review process includes articles published/reviewed in/for the following journals:
Mathematische Annalen., Springer, 2020-.
Journal of Geometric Analysis, Springer, 2023-.
Comptes Rendus Mathématique., Institute de France, Académie des sciences, 2021-.
Annals of Global Analysis and Geometry., Springer, 2021-.
(IMRN) International Mathematics Research Notices., Oxford University Press, 2021-,
Potential Analysis., 2022-.
Journal of Functional Analysis., Elsevier, 2020-.
Journal of Fourier Analysis and Applications, Springer, 2022-.
Forum of Mathematics. Sigma. Cambridge Univ. Press., 2020-.
Documenta Mathematica., Deutsche Mathematiker-Vereinigung (DMV)., 2020-.
Mathematische Nachrichten., Wiley-VCH Verlag, Wiley, 2019-.
Annali della Scuola Normale Superiore di Pisa. Scuola Normale Superiore. Pisa, Italy., 2022-.
Monatshefte für Mathematik., Springer, 2023-.
Journal of Pseudo-Differential Operators and Applications., Springer, 2016-.
Journal of Differential equations., Elsevier, 2020-.
Calc. Var. Partial Differential Equations., Springer 2023-.
SIGMA (Symmetry, Integrability and Geometry: Methods and applications)., 2019-.
Journal of the Australian Mathematical Society., Cambridge University Press, 2018-.
Bulletin of the Australian Mathematical Society., Cambridge University Press, 2019-.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas., Springer, 2022-.
Differential and Integral Equations., Khayyam, 2019-.
Nonlinear Analysis: Real World Applications, Elsevier, 2021-.
Complex Analysis and Operator Theory Springer, 2022-.
Mathematical Models and Methods in Applied Sciences, World Scientific, 2021-.
Acta Mathematica Scientia, Wuhan Inst. Phys. and Math. & Chinese Acad. Sci., Springer, 2020-.
The Journal of the Indian Mathematical Society., The Indian Mathematical Society, 2021-.
Res. Inst. Math. Sci. (RIMS)., Kyoto University, Japan., 2018-.
Analysis and Mathematical Physics., Springer, 2021-.
Open Physics., De Gruyter, 2021.
Georgian Mathematical Journal., De Gruyter, 2022-.
Banach Journal of Mathematical Analysis, Springer, 2023-.
Annals of Functional Analysis, Springer, 2023-.
Vietnam Journal of Mathematics., Springer, 2022-.
Journal of Dynamics and Differential Equations, Springer 2021-.
Rendiconti del Circolo Matematico di Palermo Series 2, Springer 2023-.
Revista Integración, Temas de Matemáticas. Edited by Universidad Industrial de Santander (UIS), Colombia, 2023-.
Selecciones Matemáticas, 2024-. Edited by National University of Trujillo, Peru.
etc.
Summer School Workshop: Modern Problems in PDEs and Applications, 2023, Ghent Analysis and PDE Center, Belgium. Talk: On the Benjamin-Ono equation in the half line.
Tbilisi Analysis and PDE Seminar, Institute of Mathematics of the University of Georgia. Continuity properties of some operators arising in non-commutative harmonic analysis. Organisers: R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi. E. Shargorodsky, Department of Mathematics, King’s College London. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi, 13 June 2023.
Seminar of Analysis: Strichartz estimates for the Schrödinger equation on compact Lie groups, Potsdam University, Germany, 5 May 2023. Organiser: Prof. Sylvie Paycha.
SDU Analysis and PDE Seminar Controllability of the heat equation for elliptic operators on compact manifolds, Wednesday, 21 December 2022. Organiser: Nurgissa Yessirkegenov. Suleyman Demirel University, Kazhakstan.
PDE and Applied Mathematics Seminar Control theory for diffusion models on compact manifolds. Wednesday, 02 November 2022. Organisers: Juan Limaco (UFF-Brazil), Mauro Rincón (UFRJ-Brazil), Max Souza (UFF-Brazil), Sandra Malta (LNCC, Brazil), Marcelo Cavalcanti (UEM-Brazil), Rui Almeida (UBI-Portugal), Roxana Lopez (UNMSM-Peru), Diego Souza (USevilla-Spain), Mauricio Sepulveda (U de Chile, Chile), Roberto Capistrano (UFPE-Brazil).
Seminar of The Institute of Mathematics, of the University of Georgia. Spectral Inequalities and control theory on compact manifolds. Day: 11 October 2022. R. Duduchava, E. Khmaladze, T. Phirashvili, G. Tephnadze. Secretary: M. Tsaava. Technical support: G. Tutberidze. Institute of Mathematics, University of Georgia, Tbilisi.
Seminar of pseudo-differential operators and analysis. Controllability of the fractional heat equation for elliptic operators on compact manifolds. Friday, 14 October 2022. Organisers: Shyam Swarup Mondal, Santosh Kumar Nayak, Abhliash Tushir, Lalit Mohan, Aparajita Dasgupta. Indian Institute of Technology.
DeustoCCM Seminar, Chair of Computational Mathematics at University of Deusto, Deusto Institute of Technology. & Deusto Foundation. Fefferman-Stein Theory for Oscillating Singular Integrals. 28 April 2022. Organisers: DeustoCCM – Chair of Computational Mathematics, University of Deusto, Bilbao, Basque Country (Spain) Slides Here!
Tbilisi Analysis and PDE Seminar, Institute of Mathematics of the University of Georgia. Oscillating Fourier multipliers theory: geometric aspects and the role of the symmetries. Organisers: R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi. E. Shargorodsky, Department of Mathematics, King’s College London. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi, 2022. Video of the talk here!
Seminario de Análisis, CUCEI. Universidad de Guadalajara, Mexico. Continuidad de tipo débil (1,1) para operadores integrales de Fourier/Weak (1,1) boundedness for Fourier integral operators. 1 April 2022. Organisers: Celia Ávalos Ramos, Isidro Humberto Munive Lima. Universidad de Guadalajara, Mexico.
Video of the talk (in Spanish) Here!Clemson University Analysis Seminar Clemson University, Clemson, US. 11 February 2022. Title: On the boundedness of oscillating singular integrals.
This is the link for the video to this talk.Analysis and Geometry Seminar. University of Antwerp, Belgium. 23 February 2022. Organiser: Sonja Hohloch, University of Antwerp. Title:On the Wodzicki residue on compact Lie groups and the paradigm of the global quantisation.
The Antwerp Algebra Colloquium. Representation theory and pseudo-differential operators. New perspectives. Antwerp University, Belgium. November 26, 2021. Organiser: Jens Hemelaer, Antwerp University.
(Video of the talk here!).The 17th Prairie Analysis Seminar. Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Kansas State University, Manhattan, KS. November 5-6, 2021. Organising committee: Diego Maldonado (K-State), Dionyssis Mantzavinos (KU), Virginia Naibo (K-State), Shuanglin Shao (KU).
(Video of the talk here!).Methusalem Junior Seminar Pure Mathematics. Global theory of subelliptic pseudo-differential operators for sub-Riemannian structures. Department of Mathematics, KU Leuven, 6 May 2021. Leuven-Belgium. Slides here!
Seminar of Logic and Analysis. Mapping properties for pseudo-differential operators on graded/compact Lie groups. Department of Analysis, Logic and Discrete Mathematics, Ghent University. April 2021, Ghent-Belgium.
Seminario de Maestría en Matemáticas. La conjetura de restricción de Stein y el problema de restricción sobre el toro. Departamento de Matemáticas, Pontificía Universidad Javeriana. Bogotá-Colombia. March- 2019.