Upcoming travels
Where Am I ?
- 31st August to 4th September 2026, Trends in Differential and Complex Geometry: a celebration of Nigel's Hitchin 80th birthday, Clay Mathematical Institute, Oxford, UK.
- 19th January to 23rd January 2026, Stacks and Moduli, Department of Mathematics IIT, Madras, India.
- 12th January to 16th January 2026, Indo-European Conference in Mathematics, SPPU and IISER, Pune, India.
Previous research visits and conferences:
a) Research visits:
- 2025 University of Waterloo, Canada. / University of Illinois at Chicago, USA.
- 2023 Mathematical Institute, Oxford, UK.
- 2022 Simons Laufer Mathematical Sciences Institute, Berkeley, USA.
- 2019 Simons Centre for Geometry and Physics, Stony Brook University, USA.
- 2018 Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy. / Tata Institute for Fundamental Research, Mumbai, India. / International Centre for Theoretical Sciences, TIFR, Bangalore, India.
- 2015 Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy. / Tata Institute for Fundamental Research, Mumbai, India.
- 2014 Institute for Mathematical Sciences, University of Singapore, Singapore. / Tata Institute for Fundamental Research, Mumbai, India. / Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy.
- 2012 Tata Institute for Fundamental Research, Mumbai, India.
- 2011 Newton Institute, Cambridge, UK. / Instituto Superior Técnico, Lisboa, Portugal.
- 2010 Tata Institute for Fundamental Research, Mumbai, India. / Faculdade de Matemática do Porto, Porto, Portugal.
- 2009 Tata Institute for Fundamental Research, Mumbai, India. / Departament d’ Algebra i Geometria, Universitat de Barcelona, Spain. / Consejo Superior de Investigaciones Científicas, IMAFF, Madrid, Spain.
- 2008 Tata Institute for Fundamental Research, Mumbai, India.
- 2007 Department of Mathematics, University of Toronto, Toronto, Canada.
- 2006 Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany.
b) Invited and plenary talks at conferences:
- 2025 ICMS Geometric moduli spaces – rigidity, genericity, stability, Edinburgh, UK. / Mathematical Congress of the Americas, Miami, USA. / LG&TBQ2: geometry, topology, and dynamics, Montreal, Canada. / Stratifications of Higgs bundle moduli spaces and related topics, University of Santiago de Compostela, Spain. / Joint Mathematics Meetings – AMS Special Session on Vector Bundles and Quantization, Seattle, USA.
- 2024 Spec(Q(2πi)), Fields Institute, Toronto, Canada. / New developments in Kobayashi–Hitchin correspondence and Higgs bundles, Metropolitan University, Osaka, Japan.
- 2023 Bandoleros, Seventh Algebraic Geometry Meeting, Politecnico di Torino, Italy. / Complex Lagrangians, Mirror Symmetry, and Quantization, BIRS, Banff, Canada. / Stability, Quantization and Randomness in Symplectic Geometry, Universidad Complutense de Madrid, Spain. / Simons' collaboration on Homological Mirror Symmetry, Simons Center for Geometry and Physics, Stony Brook, USA. / 7th Annual Meeting of the Spanish Network for Algebraic Geometry and Singularity Theory, BCAM, Bilbao, Spain.
- 2022 Connections Workshop: Analytic and Geometric Aspects of Gauge Theory, Simons Laufer Mathematical Science Institute, Berkeley, USA. / VBAC 2022: Moduli Spaces and Vector Bundles — New Trends, University of Warwick, UK. / Bundles and Conformal Blocks with a Twist, ICMS, Bayes Centre, Edinburgh, UK. / Character varieties, E-polynomials and representation Zeta functions, Australian National University, Australia.
- 2021 XVI Congreso Dr. Antonio Monteiro, Universidad Nacional del Sur, Argentina. / Geometric and Analytic aspects of moduli spaces of Higgs bundles, University of Strasbourg, France.
- 2020 ICTS Discussion meeting: Moduli of bundles and related structures, Bangalore, India. / LGTBSteminar, University of Birmingham, UK, plenary speaker.
- 2019 Graduate Summer School on the Mathematics and Physics of Hitchin Systems, Simons Center for Geometry and Physics, USA. / Geometry and Physics of Higgs Bundles, Oberwolfach, Germany. / BYMAT: Bringing Young Mathematicians Together, ICMAT, Madrid, Spain, plenary speaker. / British Mathematical Colloquium, University of Lancaster, UK.
- 2018 Complex analytic geometry, Tata Institute for Fundamental Research, Mumbai, India.
- 2017 Singular geometry and Higgs bundles in string theory, American Institute of Mathematics, San Jose, USA. / Higgs bundles and related topics, Laboratoire J.A. Dieudonne, Nice, France. / LMS Midlands regional meeting, Loughborough University, UK.
- 2016 New perspectives on Higgs bundles, branes and quantization, Simons Center, USA. / ICTS conference on Higgs bundles, International Centre for Theoretical Physics, Bangalore, India.
- 2015 Higher Teichmüller theory and Higgs bundles: interactions and new trends, University of Heidelberg, Germany. / Current trends on spectral data for Higgs bundles, American Institute of Mathematics, San José, USA. / International Meeting AMS-EMS-SPM, FCUP, Porto, Portugal, parallel session. / Discussion meeting on algebraic and analytic geometry related to bundles, Tata Institute for Fundamental Research, Mumbai, India. / Algebraic and analytic geometry part II, University of Hyderabad, India.
- 2014 The geometry, topology and physics of moduli spaces of Higgs bundles: Workshop on the themes of the summer school, Institute for Mathematical Sciences, Singapore.
- 2013 International conference on analytic and algebraic geometry related to bundles, Tata Institute for Fundamental Research, Mumbai, India.
- 2012 On moduli spaces of representations, Institut Henri Poincaré, Paris, France. / ICTS Meeting, Complex Analytic Geometry, Tata Institute for Fundamental Research, Mumbai, India. International Conference on Vector Bundles, Kerala School of Mathematics, Kozhikode, India.
- 2011 VBAC2011, Newton Institute, Cambridge, UK, short communication. / Congreso Jovenes Investigadores RSME, Soria, Spain, short communication. / Conference on G-bundles, Instituto de Ciencias Matemáticas, Madrid, Spain. / Congreso clausura del Proyecto i-Math, Royal Spanish Mathematical Society, Castrourdiales, Spain.
- 2010 ICM2010, University of Hyderabad, India, short communication (by application, accepted after competitive evaluation).
- 2009 Holomorphically symplectic varieties and moduli spaces, University of Lille, France. / Differential geometric methods in algebraic geometry, Tata Institute for Fundamental Research, Mumbai, India. / Mini workshop on vector bundles, Centro de Matemática da Universidade do Porto, Portugal.
- 2008 ENSPM08, University of Coimbra, Portugal, parallel session. / First CTS Conference on Bundles, Tata Institute for Fundamental Research, Mumbai, India.
- 2007 German-Spanish workshop on moduli spaces of vector bundles, University of Essen, Germany.
c) Colloquia, research courses, and mentoring of graduate workshops
- 2025 Integrability, Geometry and Physics: A unified view, University of Illinois at Chicago, USA.
- 2024 La ubicuidad de los fibrados de Higgs, Instituto Universitario de Física Fundamental, Universidad de Salamanca, Spain.
- 2023 Hi ha vida LGTBI a la Universitat?, Igualtat, ciberviol` encies i diversitat afectivosexual Universitat Jaume I, Castellón, Spain.
- 2020 Jíbiri, Character varieties, Universidad de Málaga, Spain, course talk.
- 2017 BIG Workshop, Higgs bundles: algebraic and differential geometric perspectives, organised by Imperial College London at the Isle of Wight, UK, as a mentor and speaker.
- 2016 Higgs bundles on singular curves, University of Illinois at Chicago, USA, course. IUPUI Colloquium, Indiana University–Purdue University at Indianapolis, USA, colloquium.
- 2013 Semana de la ciencia indignada, Universidad Complutense de Madrid, Spain, colloquium.
- 2012 Maths colloquium at Indian Institute of Technology, Mumbai, India.
- 2010 Parabolic Higgs bundles at the Workshop on Bundles on Projective Varieties, Tata Institute for Fundamental Research, Mumbai, India, mini-course (2h length).
d) Seminar talks:
- 2025 Algebra, Geometry and Topology seminar, Universidad Complutense de Madrid, Spain. / Geometry and Topology seminar, Waterloo, Canada.
- 2024 Red de Geometría y Física, ICMAT, Madrid, Spain.
- 2022 TQFT Club, Instituto Superior Tecnico, Lisboa, Portugal. / VBAC Webinar – Cohomology of character varieties.
- 2021 Geometry seminar, University of Essex, UK. / Geometry seminar, Budapest University of Technology and Economics, Hungary.
- 2020 Zoom Algebraic Geometry Seminar.
- 2019 INSEGTO, Universidad de Málaga, Spain. / Simons Center for Geometry and Physics, Stony Brook University, USA. / Integrable systems seminar, University of Birmingham, UK. / Geometry seminar, University of Utrecht, Netherlands.
- 2018 COW seminar, University of Bristol, UK. / Leeds algebra seminar, University of Leeds, UK. / Seminario de geometría, Universidad Complutense de Madrid, Spain. / Pure mathematics seminar, University of Plymouth, UK.
- 2017 Geometry and topology seminar, Mathematical Institute, Oxford, UK. / Oberseminar Geometrie und Topologie, Institute for Geometry and Topology, Stuttgart, Germany. / Geometry and topology seminar, Centro de Matematica da Universidade do Porto, Portugal. / Pure maths seminar, University of Liverpool, UK. / Big data group meeting, University of Plymouth, UK.
- 2016 GLEN-Seminar, University of Edinburgh, UK. / Integrable Systems Day, University of Loughborough, UK. / Topology, arithmetic, and dynamics seminar, George Mason University, Washington, USA. / GEAR seminar, University of Illinois at Urbana-Champaign, USA. / Geometry and topology seminar, Mathematical Institute, Oxford, UK / East Midlands seminar in geometry, University of Leicester, UK. / Yorkshire and Durham geometry day, University of Leeds, UK. / Pure mathematics seminar, University of Plymouth, UK.
- 2015 Séminaire d’algèbre, topologie et géométrie, Laboratoire J.A. Dieudonne, Nice, France. / Geometry seminar, Universidad Politécnica de Madrid, Spain. / Geometry and analysis, Department of Mathematics, University of Utrecht, Netherlands.
- 2014 School of Mathematics Senior Seminar, University of Hyderabad, India. / School of Mathematics Students Seminar, University of Hyderabad, India. / SISSA Algebraic geometry seminar, Trieste, Italy.
- 2013 Working group on F-theory, Instituto de Fisica Teorica, Madrid, Spain. / Working group on multi zeta values, Instituto de Ciencias Matemáticas, Madrid, Spain. / Physics and mathematics seminar, Universidad Complutense de Madrid, Spain.
- 2012 Physics and mathematics seminar, Universidad Complutense de Madrid, Spain. / Moduli spaces programme, University of Cambridge, UK. / Seminario social del ICMAT, Instituto de Ciencias Matemáticas, Madrid, Spain. / Leicester pure mathematics seminar series, University of Leicester, UK.
- 2010 Seminario de geometría compleja, Consejo Superior de Investigaciones Científicas, Madrid, Spain. / Seminario Vidal Abascal, Universidad de Santiago de Compostela, Spain.
- 2009 Geometria em Lisboa, Instituto Superior Técnico, Lisbon, Portugal. / CSIC Geometry seminar, Consejo Superior de Investigaciones Científicas, Madrid, Spain. UCM / Complex geometry seminar, Universidad Complutense de Madrid, Spain. / Seminari geometria algebraica UB, Universidad de Barcelona, Spain.
- 2008 Working group on geometric Langlands correspondence, Centro de Matemática da Universidade do Porto, Portugal.
- 2007 Seminário de geometria, Centro de Matemática do Porto, Portugal. / Geometry seminar, University of Toronto, Canada. / Geometry and topology seminar, McMaster University, Hamilton, Canada. / Gauge theories seminar, University of Bielefeld, Germany.
- 2006 MPIM-Bonn Oberseminar, University of Bonn, Germany. / MPIM-Leipzig geometry seminar, Max-Planck-Institut für Mathematik in der Naturwissenschaften, Leipzig, Germany. / UAM Geometry seminar, Universidad Autónoma de Madrid, Spain. / CSIC Geometry seminar, Consejo Superior de Investigaciones Científicas, Madrid, Spain.
A couple of conferences I had the privilege of attending:
- Atiyah' 80, University of Edinburgh, UK.
- Gauge Theory and Representation Theory, IAS, Princeton, USA.