Mahan Mj
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road
Colaba, Mumbai 400005
India
Official E-mail: FirstNameATmathDOTtifrDOTresDOTin
Personal E-mail: mahanDOTmjATgmailDOTcom
Papers
Most of these can be found on
arxiv.org
at
this URL
. Mathscinet reviews at
this URL
.
Geometric Group Theory, Kleinian Groups and Hyperbolic Geometry
Representations of surface groups with finite mapping class group orbits
, with Indranil Biswas, Tomas Koberda and Ramanujan Santharoubane, arXiv:1702.03622
Intersection properties of stable subgroups and bounded cohomology
, with Yago Antolin, Alessandro Sisto and Samuel J. Taylor, arXiv:1612.07227
Rotation spectra and exotic group actions on the circle
, with Sang-hyun Kim, Thomas Koberda,, arXiv:1610.04098, submitted.
Horospheres in Degerate 3-manifolds
, with
Cyril Lecuire
, arXiv:1606.07185, to appear in Int. Math. Res. Not. IMRN
Planes in Degerate 3-manifolds
, arXiv:1604.01976, under revision.
Height, Graded Relative Hyperbolicity and Quasiconvexity,
with
Francois Dahmani
, arXiv:1602.00834
Algebraic Ending Laminations and Quasiconvexity,
with
Kasra Rafi
, arXiv:1506.08036
Controlled Floyd Separation and Non-relatively Hyperbolic Groups
with
Shubhabrata Das
, , arXiv:1408.0879, J. Ramanujan Math. Soc. 30 (2015), no. 3, 267-294.
Limits of limit sets III: The General Case
,
Limits of limit sets II: Geometrically Infinite Groups
, (with
Caroline Series
), arXiv:1306.3081, Geometry and Topology, 21 (2017), no. 2, 647-692
Limits of limit sets I
, (with
Caroline Series
),
Geometriae Dedicata: Volume 167, Issue 1 (2013), Page 35-67
, arXiv:1107.0875
Semiconjugacies Between Relatively Hyperbolic Boundaries
, (with
Shubhabrata Das
),
Groups, Geometry and Dynamics Volume 10, Issue 2, 2016, 733-752
On Discreteness of Commensurators
,
Geometry and Topology 15 (2011) 331-350
, arXiv:1006.5237
Cannon-Thurston Maps for Kleinian Groups
, submitted, arxiv:1002.0996
A Combination Theorem for Metric Bundles
,
Geometric and Functional Analysis: Volume 22, Issue 6 (2012), Page 1636-1707
(with
Pranab Sardar
), arXiv:0912.2715
Pattern Rigidity and the Hilbert-Smith Conjecture
,
Geometry and Topology 16 (2012) 1205--1246,
arXiv:0906.4243
Splittings and C-Complexes
, (with
Peter Scott
and G. A. Swarup),
Algebraic and Geometric Topology 9 (2009) 1971-1986
, arXiv:0906.1149
Pattern Rigidity in Hyperbolic Spaces: Duality and PD Subgroups
, (with
Kingshook Biswas
),
Groups, Geometry and Dynamics, Volume 6, Issue 1, 2012, pp. 97-123
Universal Cannon-Thurston Maps and Curve Complexes
, (with
Chris Leininger
and
Saul Schleimer
),
Commentarii Mathematici Helevetici 86(4), 2011, pp. 769-816
, arXiv:0808.3521
Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps
, (with Abhijit Pal),
Geometriae Dedicata, 151(1), 2011, pp. 59-78,
arXiv:0708.3578
Mapping Class Groups and Interpolating Complexes: Rank
,
J. Ramanujan Math. Soc. 24(4), 2009, pp. 341-357
, arXiv:0706.2740
Relative Rigidity, Quasiconvexity and C-Complexes
,
Algebraic and Geometric Topology 8 (2008) pp. 1691-1716
, arXiv:0704.1922
Ending Laminations and Cannon-Thurston Maps
, with an Appendix written jointly with
Shubhabrata Das
,
Geometric and Functional Analysis. Volume 24, Issue 1 (2014), Page 297-321
, arXiv:math/0701725
A Combination Theorem for Strong Relative Hyperbolicity
, (with Lawrence Reeves),
Geometry and Topology 12 (2008) pp. 1777-1798
, arXiv:math/0611601
Cannon-Thurston Maps for Surface Groups
,
Annals of Mathematics 179(1) 2014, p. 1--80
, arXiv:math/0607509
Cannon-Thurston Maps for Surface Groups: An Exposition of Amalgamation Geometry and Split Geometry
,
Geometry, Topology, and Dynamics in Negative Curvature, London Mathematical Society Lecture Note Series volume 425, 2016, p. 221-271
, arXiv:math/0512539
Cannon-Thurston Maps, i-bounded Geometry and a theorem of McMullen
,
Actes du seminaire Theorie spectrale et geometrie, vol 28, Annee 2009-10, 63-108; 2011
, arXiv:math/0511104
Cannon-Thurston Maps for Pared Manifolds of Bounded Geometry
,
Geometry and Topology 13 (2009) 189-245
, arXiv:math/0503581
Cannon-Thurston Maps and Bounded Geometry
,
Teichmuller Theory and Moduli Problems No. 10, 2009, pp. 489-511, Proceedings of Workshop on Teichmuller Theory at HRI, Allahabad, published by Ramanujan Mathematical Society
Height in splittings of hyperbolic groups
Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 39-54
On a Theorem of Scott and Swarup
Proc. Amer. Math. Soc. 127(6), 1999, pp. 1625-1631
Coarse extrinsic geometry: a survey
Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, pp. 341-364
, also available at
this http URL
Cannon-Thurston Maps for Trees of Hyperbolic Metric Spaces
,
J. Differential Geom. 48, 1998, pp. 135-164
Ending Laminations for Hyperbolic Group Extensions
Geom. Funct. Anal. vol.7 No. 2, 1997, pp. 379-402
Cannon-Thurston Maps for Hyperbolic Group Extensions
,
Topology 37, 1998, pp. 527-538
Maps on Boundaries of Hyperbolic Metric Spaces
, PhD thesis,
U.C. Berkeley
, 1997
Widths of Subgroups
(with R. Gitik, E. Rips and
M. Sageev
),
Transactions Amer. Math. Soc. 350 (1998) pp. 321-329
Kaehler Groups and Complex Geometry
Higgs bundles on Sasakian manifolds
, (with Indranil Biswas), arXiv:1607.07351, to appear in
Int. Math. Res. Not. IMRN
A splitting theorem for good complexifications
, (with Indranil Biswas and A. J. Parameswaran), arXiv:1503.08006, Ann. Inst. Fourier (Grenoble) 66 (2016), no. 5, 1965-1985
An almost complex Castelnuovo de Franchis theorem
, (with Indranil Biswas), arXiv:1502.06205, to appear in
Hokkaido Mathematical Journal
H_1-semistability for projective groups
, (with Indranil Biswas), arXiv:1402.6418, Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 1, 89-100.
Quasiprojective three-manifold groups and complexification of three-manifolds
, (with Indranil Biswas),
International Mathematics Research Notices, Vol. 2015, No. 20, pp. 10041-10068
arXiv:1403.2029
The Fujiki Class and Positive Degree Maps
, (with Indranil Biswas and Gautam Bharali),
Complex Manifolds
. Volume 2, Issue 1 (Jan 2015), arXiv:1312.5655
Homotopical Height,
, (with Indranil Biswas, Dishant Pancholi),
International Journal of Mathematics Vol. 25, No. 13 (2014) 1450123 (43 pages), DOI: 10.1142/S0129167X14501237
arXiv:1302.0607
Infinitesimal Deformations and Brauer Group of some generalized Calabi-Eckmann Manifolds
, (with Indranil Biswas and Ajay Singh Thakur),
Tokyo Journal of Mathematics Vol. 37, No. 1, 2014, pages 61-72.
One-relator Kaehler Groups
, (with Indranil Biswas),
Geometry and Topology 16 (2012) 2171-2186
arXiv:1201.5772
Three manifold groups, Kaehler groups and complex surfaces
, (with Indranil Biswas,
Harish Seshadri
),
Communications in Contemporary Mathematics, 14, 1250038 (2012)
, arXiv:1101.1162
Miscellaneous
Nash Equilibria via Duality and Homological Selection
, Proceedings Indian Academy of Sciences (Math. Sci.), November 2014, Volume 124, Issue 4, pp 581-602 (with Arnab Basu,
Samik Basu
), arXiv:1111.0754
Thurston boundary of Teichmuller spaces and the commensurability modular group
(with Indranil Biswas and Subhashish Nag)
Conformal Geometry and Dynamics 3, 1999, pp. 50-66
Expository
Cannon-Thurston Maps in Kleinian groups and geometric group theory
,
Survey paper for Handbook of Teichmuller Theory
, 2017
Motions of limit sets: A survey
,
Expanded version of talk at Workshop on Grothendieck-Teichmuller theories, Chern Institute, Tianjin, July 2016.
Geometrically finite and infinite Kleinian Groups
,
arXiv:1507.04165, Workshop on Dynamics, TIFR, April 2015.
A Crash Course on Knots
Workshop on Topology and Condensed Matter Physics, December 2015, ed. S. M. Bhattacharjee.
A survey of low dimensional (Quasi)projective groups (with Indranil Biswas)
Conference in Hyderabad University on Complex Geometry in March 2015.
What is hyperbolic geometry?
Asia Pac. Math. Newsl. 3 (2013), no. 1, 1-5.
Slides
Homotopical Height
On Discreteness of Commensurators
Pattern Rigidity
Geometry and Dynamics of Kleinian Groups
Shapes and Geometry of Surfaces
What is hyperbolic geometry?