Graduate Courses
Given
- Topology Graduate Course:- started on 27-07-07, continued till
11.04.08, place:- School of Mathematics, Tata Institute of
Fundamental Research, title:-Topology. (Primary source:
`Algebraic Topology' by E. Spanier). (Total 66 `one hour
class-room lectures').
- Topology Graduate Course:- started on 10-08-15, continued till 15.04.16,
place:- School of Mathematics, Tata Institute of
Fundamental Research, title:-Topology. (Primary source:
`Algebraic Topology' by E. Spanier, also from Hatcher's book). (Total 82 `one hour class-room lectures').
- `Manifold Topology' Advanced Graduate Course:- started on 20-07-16. (Write up of the first three lectures
(5hrs) is in the published
section: `Manifold Topology: A Prelude'.
It contains some basic materials to make it accessible by students in India.
Rest of the course includes Homotopy Theory, Differential Topology, Morse Theory, h-cobordism theorem...).
- Topology Graduate Course:- started on 05-08-19, continued till 09.04.20,
place:- School of Mathematics, Tata Institute of
Fundamental Research, title:-Topology. (Primary sources:
`Algebraic Topology' by E. Spanier, `Algebraic Topology' by Hatcher, `Differential Topology' by Guillemin and Pollack, also
Appendix A of `Characterictic classes' by Milnor and Stasheff)
- Topology Graduate Course:- started on 17.01.23, continued till 14.04.23. place:- School of Mathematics, Tata Institute of
Fundamental Research, title:-Differential Topology and Morse Theory. (Primary source:
`Differential Topology' by V. Guillemin and A. Pollack, `Morse Theory' by J. Milnor and `Differential Forms in Algebraic Topology' by Bott and Tu).
Lectures Given
- Colloquium talk: date:- 12-09-96, place:- Tata Institute of
Fundamental Research, title:- Subcomplex complements in {\Bbb
S}^3: L-theory and curvature.
- Oberseminar Topologie: date:- 17-11-97, place:- Max-Planck
Institut f\"{u}r Mathematik, title:- Surgery groups of
submanifolds of the 3-sphere.
- MPI-Oberseminar: date:- 04-12-97, place:- Max-Planck Institut
f\"{u}r Mathematik, title:- Nonpositive curvature on link
complements and Surgery groups.
- Oberseminar Differential Geometry: date:- 09-12-97, place:-
University of Bonn, title:- Surgery obstruction groups and
nonpositive curvature in 3-manifolds.
- Colloquium talk: date:- 26-11-98, place:- Tata Institute of
Fundamental Research, title:- Vanishing structure set of Haken
3-manifolds.
- Mathematics seminar: dates:- 06-04-99 and 08-04-99,
place:-Mehta Research Institute, title:- Vanishing
structure set of Haken 3-manifolds.
- Oberwolfach meetings (Topologie): dates:- 06-09-98 to
12-09-98, place:- Mathematisches Forschungsinstitut Oberwolfach,
title:-Algebraic K-theory of pure braid groups, talk presented
by F.T. Farrell.
- Mathematics seminar: dates:- 29-08-2000, place:- Mehta
Research Institute, title:- Finiteness of simple homotopy type
up to s-cobordism of aspherical 4-manifolds.
- Allahabad Low Dimensional Topology Instructional
Conference: date:- 18-12-2000 to 31-12-2000, place:- Allahabad
University and Harish Chandra Research Institute, titles:-Knot
theory and 3-manifolds (3 lectures); Seifert fibered spaces (1
lecture); 4-manifolds (1 lecture).
- Special Mathematics Seminar: date:- 15-02-2001, place:-
Stat-Math Unit, Indian Statistical Institute, Calcutta, title:-
K-theory of braid groups.
- Mathematics Seminar: date:- 30-04-2001, place:- Mathematics
Section, The Abdus Salam ICTP, Trieste, Italy, title:- L-theory
of 3-manifolds.
- Algebra/Topology/K-theory Seminars: date:- 02-05-2001, place:-
Mathematics Section, The Abdus Salam ICTP, Trieste, Italy,
title:- Algebraic K-theory of braid groups.
- Algebra/Topology/K-theory Seminars: date:- 09-05-2001, place:-
Mathematics Section, The Abdus Salam ICTP, Trieste, Italy,
title:- Simple homotopy types of aspherical 4-manifolds.
- Geometric Group Theory Seminar: dates:- 20,25,27-09-2001,
place:- Harish-Chandra Research Institute, Allahabad, India,
title:- Non-positively curved simplicial complexes.
- Colloquium talk: date:- 28-09-2001, place:- Harish-Chandra
Research Institute, Allahabad, India, title:- A representation
of generalized braid group in classical braid group.
- Colloquium talk: date:- 22-11-2001, place:- Tata Institute of
Fundamental Research, title:- The Whitehead group of Artin braid
group.
- Delhi Algebraic and Geometric Topology Conference: date:-
01-01-2002 to 04-01-2002, place:- Delhi University, Delhi,
India, title:- Topology of 3-manifolds and a class of groups.
- Chennai Topological Methods in Group Theory workshop: date:-
15-07-2002 to 27-07-2002, place:- Institute of Mathematical
Sciences, Chennai, India, title:- Cartan Hadamard theorem.
- Satellite Conference of ICM2002 on Geometric Topology: date:-
12-08-2002 to 16-08-2002, place:- Shaanxi Normal University,
Xi'an, China, title:- Topology of 3-manifolds and a class of
groups.
- International Congress of Mathematicians: date:- 20-08-2002 to
28-08-2002, place:- Beijing, China, title:- The Whitehead group
of a class of discrete groups. This lecture was a short
communication.
- VSRP lecture: dates:- 02-07-2003 and 04-07-2003, place:-Tata
Institute, title:- Introduction to differentiable manifolds.
- Conference on Topology: dates:- 14-07-2003 to 25-07-2003,
place:- Mathematical Sciences Institute, The Australian National
University, Canberra, title:- Vanishing of Whitehead group of a
class of groups.
- Joint India-AMS Mathematics meeting:- dates:- 17-12-2003 to
20-12-2003, place:- Indian Institute of Science, Bangalore,
title:- On groups with (un)-stabilized derived series. This
lecture was an invited talk in the special session on Algebraic
and Geometric Topology.
- Algebraic Geometry Seminar:- date:- 14-05-2004, place:- Tata
Institute of Fundamental Research, title:- Finite group action
on simplicial complexes.
- An advanced instructional workshop on low-dimensional topology
and geometric group theory:- dates:- 12-07-2004 to 24-07-2004,
place:- Indian Statistical Institute, Bangalore, India, title:-
K-theory of 3-manifold groups. (3 lectures).
- Oberseminar Topologie:- date:- 21-11-2005, place:-
Mathematisches Institut, Universitaet Muenster, title:- The
Isomorphism Conjecture for 3-manifold Groups.
- Colloquium talk:- date:- 20-07-2006, place:- Tata Institute of
Fundamental Research, title:- The Farrell-Jones Isomorphism
Conjecture for 3-manifold groups.
- VSRP lecture: dates:- 02-07-2008 and 09-07-2008, place:-Tata
Institute of Fundamental Research, title:- Algebraic Topology.
- International Conference in Mathematics: date:- 18-03-2009,
place:- Harish Chandra Research Institute, Allahabad, India,
title:- The Farrell-Jones Isomorphism conjecture and groups
acting on trees.
- Colloquium talk: date:- 18-03-2010, place:- Tata Institute of
Fundamental Research, title:- The Isomorphism Conjecture for
groups acting on trees.
- VSRP lecture: date:-30-06-2010, place:- Tata Institute of
Fundamental Research, title:- The Schoenflies theorem for
surfaces.
- The 76-th annual conference of the Indian Mathematical
Society: place:- National Institute of Technology, Surat, India,
title:- The Farrell-Jones Isomorphism Conjecture.
- An advanced instructional school in Algebraic Topology:
dates:- 13-06-2011 to 02-07-2011, place:- North-Eastern Hill
University, Shillong, India, title:- Fixed point and duality
theorems in algebraic topology. (9 lectures).
- Geometry and Topology in Samos:-11-06-2012 to 15-06-2012,
place:- The University of the Aegean, Samos, Greece, title:- The
Farrell-Jones isomorphism conjecture for a certain class of
groups. (On the occassion of the 70th birthday of Professor Tom
Farrell).
- Conference on Group actions and applications in Geometry,
Topology and Analysis, dates:- 21-07-2012 to 29-07-2012, place:-
Kunming University of Science and Technology, Kunming, China,
title:- The Isomorphism conjecture for groups acting on trees.
- 27th Annual Conference of the Ramanujan Mathematical Society, dates:-
19-10-2012 to 23-10-2012, place:-Shiv Nadar University, New Delhi, India,
title:- K and L-theory of groups acting on trees.
- International ATM workshop on surgery theory and classification of manifolds, dates:-
17-06-2013 to 26-06-2013, place:-North-Esatern Hill University, Shillong, India,
title:- Morse theory and $s$-cobordism theorem. (5 lectures)
- International conference on surgery theory and classification of manifolds, date:-
25-06-2013, place:-North-Eastern Hill University, Shillong, India,
title:- K and L-theory of groups acting on trees.
- Topology and Groups, date:- 17-10-2015, place:- Goa University, title:- A
generalisation of a certain class of Artin groups.
- Colloquium talk, date:-17-05-2016, place:-TIFR CAM, Bangalore, India, title:-Algebraic
K and L-theory of Artin groups.
- Seminar talk, date:-26-05-2016, place:-IISC, Bangalore, India, title:- Algebraic K
and L-theory of groups acting on trees.
- Seminar talk, date:-27-05-2016, place:-IISC, Bangalore, India, title:- The
isomorphism conjecture for Artin groups.
- Students Seminar, date:- 14-06-16,
place:- Tata Institute of
Fundamental Research, title:-An obstruction group in Topology.
- Vigyan Vidushi, date:- 08-07-21 to 12.07.21,
place:- Tata Institute of
Fundamental Research, title:-Fundamental group and its applications. (3 lectures)
- Colloquium talk, date:- 23-10-24,
place:- Indian Institute of Technology, Mumbai, title:-On the affine Artin group of type $\widetilde B_n$.
- Plenary talk, date:- 15-11-24,
place:- Indian Institute of Science Education and Research (IISER), Bhopal, title:-Classical Artin braid groups and its variants.