School of Physics and Astronomy

Dr Sanjaye Ramgoolam

Sanjaye

Reader in Theoretical Physics

Email: s.ramgoolam@qmul.ac.uk
Telephone: 020 7882 5799
Room Number: G. O. Jones Building, Room 609

Profile

My research is in the areas of string theory, combinatorics and representation theory. My papers are available at Google Scholar

I am currently teaching  Mathematical Techniques 4 (Year 3) and Advanced Quantum Field theory (Year 4)

Teaching

Currently teaching  :

  1. PHY6324 (Mathematical Techniques 4)
  2. SPA7001U/P (Advanced Quantum Field Theory)

Undergraduate Projects supervised : 

  1. From classical strings to photons and gravtions
  2. Plasma Physics and Nuclear Fusion
  3. Dark Matter, dark energy and cosmology
  4. Entanglement and decoherence in quantum physics

Modules taught in the past :

  1. Electromagnetic  theory (4th year MSci course)
  2. Quantum Mechanics and Symmetry (3rd year)
  3. Electromagnetism for pre-medical (at Brown)
  4. Quantum Physics (1st year)

Research

Research Interests:

String theory, representation theory, combinatorics

My recent work has largely  been in gauge-string duality, in particular the AdS/CFT correspondence, which relates 4-dimensional quantum field theory  (QFT) to 10-dimensional string theory. I have developed a  mathematical framework based on symmetric groups, Brauer algebras, representation theory, combinatorics, in understanding the map between states in the QFT and states of strings, branes and geometries in the 10 dimensions. A recent theme emerging from these investigations is the role of two-dimensional topological field theories (TFT2)  as a structure which captures both the combinatorics and spacetime dependences of correlators in four-dimensional theories.  I have also developed simple mathematical models of gauge-string duality in low dimensions, e.g deriving the counting of strings wrapping the two-dimensional sphere from matrix models, which can be viewed as zero dimensional QFT. Some of the mathematical  techniques have also been applied to find new counting results for Feynman diagrams  in QFT, including the simplest ones : scalar field theory and quantum electrodynamics (QED, which describes photons and electrons).

A very recent interdisciplinary direction (initiated in a collaboration with D. Kartsaklis and M. Sadrzadeh)  has been to develop matrix theory techniques to give a framework for analyzing matrix data in computational linguistics. This is a video of the talk I gave at the ``Quantum Physics and Logic'' conference organized by the Oxford Quantum Group. 

 A complete list of my papers can be accessed  at Inspire-HEP-database or Google scholar (Following standard practice in theoretical particle physics, author lists are all alphabetical)

Selected papers organised by theme (although some lie at interfaces of these themes 

CFT4 as TFT2

    1. CFT4 as SO(4,2)-invariant TFT2

     2. Quivers as Calculators

    3. Free quantum fields in 4D and Calabi Yau spaces

AdS/CFT, giant graviton branes, correlators of gauge invariant operators

Half-BPS case (related to one-matrix combinatorics)

  1. Exact Correlators of Giant Gravitons from dual N=4 SYM

Eighth-BPS case (related to multi-matrix combinatorics)

  1. Diagonal multi-matrix correlators and BPS operators in N=4 SYM.
  2. From counting to construction of BPS states in N=4 SYM.
  3. Branes, anti-branes and brauer algebras in gauge-gravity duality.

Non-BPS and Integrability

  1.  A double coset ansatz for integrability in AdS/CFT

Fuzzy geometry

  1. On spherical harmonics for fuzzy spheres in diverse dimensions.
  2. The Fuzzy S2 structure of M2-M5 systems in ABJM membrane theories.
  3. Noncommutative gravity from the AdS / CFT correspondence.
  4. Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons.

Mathematical models of gauge-string duality

  1. Large N 2-D Yang-Mills theory and topological string theory
  2. From Matrix Models and Quantum Fields to Hurwitz Space and the absolute Galois Group.
  3. Strings from Feynman Graph counting : without large N.

Supersymmetric Gauge theories

  1. Toric CFTs, Permutation Triples and Belyi Pairs.
  2. Invariants of Toric Seiberg Duality.

Matrix Model of M-theory

  1. Branes, fluxes and duality in M(atrix) theory.

Examples of research funding:

Current and recent grants :

  1. Visiting Professorship, Wits University South Africa
  2. Science and Technology Facilities Council, (£703,989). Brandhuber, Berman, Buican, Figueras, Ramgoolam, Russo, Shigemori, Spence, Thomas, Travaglini, White. Consolidated grant String theory, gauge theory and duality (2017-2020)
  3. Science and Technology Facilities Council, (£632,431). Brandhuber, Berman, Ramgoolam, Russo, Spence, Thomas, Travaglini, Wecht. Consolidated grant String theory, gauge theory and duality (2011-2014)
  4. Science and Technology Facilities Council, (£1,431,413). Spence  Berman, Brandhuber, Ramgoolam, Russo, Thomas, Travaglini. Rolling grant String theory, gauge theory and duality (2008-2013)
  5. Particle Physics and Astronomy Research Council: Spence , Berman, Brandhuber, Ramgoolam, Thomas. Rolling grant String theory, gauge theory and gravity (2006-2010),  (£249,800.)
  6. STFC (PPARC) Advanced Fellowship, 2003-2008  (£220,000)
  7. Scientist in charge for  Marie Cure Outgoing Fellowship ( MOIF-CT-2006-038381) held by   Diego Rodriguez Gomez at QMUL and Princeton.
  8. Royal Society International exchange grants with South Africa and Cyprus. 

Publications

The complete and up-to-date list of my publications is available at the Inspire-Hep database  and at Google Scholar

A description of some  my research organized according to some general themes is under the Research tab.

2016

Flavour singlets in gauge theory as permutations
Kimura Y, Ramgoolam S, Suzuki R
Journal of High Energy Physics, Volume 2016, issue 12, 28th December 2016.
DOI: 10.1007/JHEP12(2016)142

Gauge invariants and correlators in flavoured quiver gauge theories
Mattioli P, Ramgoolam S
Nuclear Physics B, Volume 911, page 638, 1st October 2016.
DOI: 10.1016/j.nuclphysb.2016.08.021

Consistency and derangements in brane tilings
Hanany A, Jejjala V, Ramgoolam S et al.
Journal of Physics A: Mathematical and Theoretical, Volume 49, issue 35, page 355401, 2nd September 2016.
DOI: 10.1088/1751-8113/49/35/355401

Interactions as intertwiners in 4D QFT
de Mello Koch R, Ramgoolam S
Journal of High Energy Physics, Volume 2016, issue 3, 23rd March 2016.
DOI: 10.1007/JHEP03(2016)165

Permutation Centralizer Algebras and Multi-Matrix Invariants
Mattioli P, Ramgoolam S
Physical Review D - Particles, Fields, Gravitation, and Cosmology, 21st March 2016.
DOI: 10.1103/PhysRevD.93.065040

2015

The geometry of the light-cone cell decomposition of moduli space
Garner D, Ramgoolam S
JOURNAL OF MATHEMATICAL PHYSICS, Volume 56, issue 11, 1st November 2015.
DOI: 10.1063/1.4934365

Permutation combinatorics of worldsheet moduli space
Freidel L, Garner D, Ramgoolam S
PHYSICAL REVIEW D, Volume 91, issue 12, 9th June 2015.
DOI: 10.1103/PhysRevD.91.126001

Quivers, words and fundamentals
Mattioli P, Ramgoolam S
Journal of High Energy Physics, Volume 2015, issue 3, 21st February 2015.
DOI: 10.1007/JHEP03(2015)105

2013

Quivers as Calculators: Counting, Correlators and Riemann Surfaces
Pasukonis J, Ramgoolam S
The Journal of High Energy Physics, Volume 94, issue 04, 9th January 2013.
DOI: 10.1007/JHEP04(2013)094

2012

INVARIANTS OF TORIC SEIBERG DUALITY
Hanany A, He Y-H, Jejjala V et al.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, Volume 27, issue 1, 10th January 2012.
DOI: 10.1142/S0217751X12500029

2011

Calabi-Yau orbifolds and torus coverings
Hanany A, Jejjala V, Ramgoolam S et al.
JOURNAL OF HIGH ENERGY PHYSICS, issue 9, 1st September 2011.
DOI: 10.1007/JHEP09(2011)116

2009

The fuzzy S-2 structure of M2-M5 systems in ABJM membrane theories
Nastase H, Papageorgakis C, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2009, issue 5, 1st May 2009.
DOI: 10.1088/1126-6708/2009/05/123

Diagonal free field matrix correlators, global symmetries and giant gravitons
Brown TW, Heslop PJ, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2009, issue 4, 1st April 2009.
DOI: 10.1088/1126-6708/2009/04/089

2008

Enhanced symmetries of gauge theory and resolving the spectrum of local operators
Kimura Y, Ramgoolam S
PHYS REV D, Volume 78, issue 12, 1st December 2008.
DOI: 10.1103/PhysRevD.78.126003

Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills
Kimura Y, Ramgoolam S
J HIGH ENERGY PHYS, issue 6, 1st June 2008.
DOI: 10.1088/1126-6708/2008/06/015

Diagonal multi-matrix correlators and BPS operators in N=4 SYM
Brown TW, Heslop PJ, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2008, issue 2, 1st February 2008.
DOI: 10.1088/1126-6708/2008/02/030

Schur-Weyl duality as an instrument of gauge-string duality
Ramgoolam S
TEN YEARS OF ADS/CFT, Volume 1031, page 255, 1st January 2008.
DOI: 10.1063/1.2972012

2007

Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras
de Haro S, Ramgoolam S, Torrielli A
COMMUN MATH PHYS, Volume 273, issue 2, page 317, 1st July 2007.
DOI: 10.1007/s00220-007-0232-4

Correlators, probabilities and topologies in N=4 SYM
Brown T, Ramgoolam S, Koch RD et al.
J HIGH ENERGY PHYS, issue 3, 1st March 2007.
DOI: 10.1088/1126-6708/2007/03/072

2006

On time-dependent collapsing branes and fuzzy odd-dimensional spheres
Papageorgakis C, Ramgoolam S
INT J MOD PHYS A, Volume 21, issue 30, page 6055, 10th December 2006.
DOI: 10.1142/S0217751X06034161

Finite N effects on the collapse of fuzzy spheres
McNamara S, Papageorgakis C, Ramgoolam S et al.
J HIGH ENERGY PHYS, issue 5, 1st May 2006.
DOI: 10.1088/1126-6708/2006/05/060

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states
Papageorgakis C, Ramgoolam S, Toumbas N
J HIGH ENERGY PHYS, issue 1, 1st January 2006.
DOI: 10.1088/1126-6708/2006/01/030

2005

On exponential corrections to the 1/N expansion in two-dimensional Yang Mills
Koch RD, Jevicki A, Ramgoolam S
J HIGH ENERGY PHYS, issue 8, 1st August 2005.
DOI: 10.1088/1126-6708/2005/08/077

Non-associative gauge theory and higher spin interactions
de Medeiros P, Ramgoolam S
J HIGH ENERGY PHYS, issue 3, 1st March 2005.
DOI: 10.1088/1126-6708/2005/03/072

Large-small dualities between periodic collapsing/expanding branes and brane funnels
RAMGOOLAM SK, Papageorgakis C
JHEP, 1st January 2005.
DOI: 10.1016/j.nuclphysb.2005.09.044

2004

Resolving brane collapse with 1/N corrections in non-Abelian DBI
Ramgoolam S, Spence B, Thomas S
NUCL PHYS B, Volume 703, issue 1-2, page 236, 20th December 2004.
DOI: 10.1016/j.nuclphysb.2004.10.012

Towards gauge theory for a class of commutative and non-associative fuzzy spaces
Ramgoolam S
J HIGH ENERGY PHYS, issue 3, 1st March 2004.
DOI: 10.1088/1126-6708/2004/03/034

Strings on plane waves, super-Yang-Mills in four dimensions, quantum groups at roots of one
Corley S, Ramgoolam S
NUCL PHYS B, Volume 676, issue 1-2, page 99, 5th January 2004.
DOI: 10.1016/j.nuclphysb.2003.10.017

2003

Massive IIA string theory and Matrix theory compactification
Lowe DA, Nastase H, Ramgoolam S
NUCL PHYS B, Volume 667, issue 1-2, page 55, 8th September 2003.
DOI: 10.1016/S0550-3213(03)00547-9

2002

Finite factorization equations and sum rules for BPS correlators in N=4 SYM theory
Corley S, Ramgoolam S
NUCL PHYS B, Volume 641, issue 1-2, page 131, 7th October 2002.
DOI: 10.1016/S0550-3213(02)00573-4

Higher dimensional geometries related to fuzzy odd-dimensional spheres
Ramgoolam S
J HIGH ENERGY PHYS, issue 10, 1st October 2002.
DOI: 10.1088/1126-6708/2002/10/064

Higher-dimensional geometries from matrix brane constructions
Ho PM, Ramgoolam S
NUCL PHYS B, Volume 627, issue 1-2, page 266, 15th April 2002.
DOI: 10.1016/S0550-3213(02)00072-X

2001

Einstein-Hilbert on the brane
Corley S, Lowe DA, Ramgoolam S
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, Volume 39, page S566, 1st December 2001.

On spherical harmonics for fuzzy spheres in diverse dimensions
Ramgoolam S
NUCL PHYS B, Volume 610, issue 3, page 461, 10th September 2001.
DOI: 10.1016/S0550-3213(01)00315-7

Einstein-Hilbert action on the brane for the bulk graviton
Corley S, Lowe DA, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2001, issue 7, 1st July 2001.
DOI: 10.1088/1126-6708/2001/07/030

Exact correlators of giant gravitons from dual N=4 SYM theory
RAMGOOLAM SK, Jevicki A, Corley S
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, Volume 5, issue 4, page 809, 1st July 2001.
DOI: 10.4310/ATMP.2001.v5.n4.a6

Projector equivalences in K theory and families of non-commutative solitons
Corley S, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2001, issue 3, 1st March 2001.
DOI: 10.1088/1126-6708/2001/03/037

On the polarization of unstable D0-branes into non-commutative odd spheres
Guralnik Z, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2001, issue 2, 1st February 2001.
DOI: 10.1088/1126-6708/2001/02/032

2000

Non-commutative spheres and the AdS/CFT correspondence
Jevicki A, Mihailescu M, Ramgoolam S
J HIGH ENERGY PHYS, Volume 2000, issue 10, 1st October 2000.
DOI: 10.1088/1126-6708/2000/10/008

A remark on T-duality and quantum volumes of zero-brane moduli spaces
Ramgoolam S
J HIGH ENERGY PHYS, Volume 2000, issue 9, 1st September 2000.
DOI: 10.1088/1126-6708/2000/09/026

 

A double coset ansatz for integrability in AdS/CFT
Koch RDM, Ramgoolam S
DOI: 10.1007/JHEP06(2012)083

Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
Kimura Y, Ramgoolam S
JHEP, Volume 0711, page 078, DOI: 10.1088/1126-6708/2007/11/078

Branes, Fluxes and Duality in M(atrix)-Theory
Ganor OJ, Ramgoolam S, IV WT
Nucl.Phys.B, Volume 492, page 191, DOI: 10.1016/S0550-3213(97)00100-4

CFT4 as SO(4,2)-invariant TFT2
Koch RDM, Ramgoolam S
Nuclear Physics, Section B, DOI: 10.1016/j.nuclphysb.2014.11.013

Calabi-Yau Orbifolds and Torus Coverings
Hanany A, Jejjala V, Ramgoolam S et al.
JHEP, Volume 1109, page 116, DOI: 10.1007/JHEP09(2011)116

Chiral Ring Generating Functions & Branches of Moduli Space
McGrane J, Ramgoolam S, Wecht B

Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String Theories
Ramgoolam S
Nucl.Phys. B, Volume 418, page 30, DOI: 10.1016/0550-3213(94)90237-2

Counting Tensor Model Observables and Branched Covers of the 2-Sphere
Geloun JB, Ramgoolam S

D-Branes and Physical States
Ramgoolam S, Thorlacius L
Nucl.Phys. B, Volume 483, page 248, DOI: 10.1016/S0550-3213(96)00475-0

Duality and Combinatorics of Long Strings in ADS3
Mihailescu M, Ramgoolam S
Nucl.Phys. B, Volume 587, page 179, DOI: 10.1016/S0550-3213(00)00444-2

Exact S-Matrix for 2D String Theory
Moore G, Plesser MR, Ramgoolam S
Nucl.Phys.B, Volume 377, page 143, DOI: 10.1016/0550-3213(92)90020-C

Free particles from Brauer algebras in complex matrix models
Kimura Y, Ramgoolam S, Turton D
JHEP, Volume 1005, page 052, DOI: 10.1007/JHEP05(2010)052

From 0-Branes to Torons
Guralnik Z, Ramgoolam S
Nucl.Phys. B, Volume 521, page 129, DOI: 10.1016/S0550-3213(98)00070-4

From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
Koch RDM, Ramgoolam S

From counting to construction of BPS states in N=4 SYM
Pasukonis J, Ramgoolam S
JHEP, Volume 1102, page 078, DOI: 10.1007/JHEP02(2011)078

Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
Jevicki A, Mihailescu M, Ramgoolam S
Nucl.Phys. B, Volume 577, page 47, DOI: 10.1016/S0550-3213(00)00147-4

Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere
Jevicki A, Mihailescu M, Ramgoolam S

Higher Loop Effects in M(atrix) Orbifolds
Ganor OJ, Gopakumar R, Ramgoolam S
Nucl.Phys. B, Volume 511, page 243, DOI: 10.1016/S0550-3213(97)00654-8

Highest Weight Generating functions for hyperKahler T*(G/H) spaces
Hanany A, Ramgoolam S, Rodriguez-Gomez D
Journal of High Energy Physics, DOI: 10.1007/JHEP10(2016)021

Holographic Hierarchy in the Gaussian Matrix Model via the Fuzzy Sphere
Garner D, Ramgoolam S
Nucl.Phys. B, Volume 875, page 244, DOI: 10.1016/j.nuclphysb.2013.06.020

Interactions as intertwiners in 4D QFT
Koch RDM, Ramgoolam S
Journal of High Energy Physics, DOI: 10.1007/JHEP03(2016)165

Invariants of Toric Seiberg Duality
Hanany A, He Y-H, Jejjala V et al.
DOI: 10.1142/S0217751X12500029

Large N 2D Yang-Mills Theory and Topological String Theory
Cordes S, Moore G, Ramgoolam S
Commun.Math.Phys., Volume 185, page 543, DOI: 10.1007/s002200050102

Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
Cordes S, Moore G, Ramgoolam S
Nucl.Phys.Proc.Suppl., Volume 41, page 184, DOI: 10.1016/0920-5632(95)00434-B

Linguistic Matrix Theory
Kartsaklis D, Ramgoolam S, Sadrzadeh M

New Modular Hopf Algebras related to rational $k$ $\widehat {sl(2)}$
Ramgoolam S

Non commutative gravity from the ADS/CFT correspondence
Jevicki A, Ramgoolam S
JHEP, Volume 9904, page 032, DOI: 10.1088/1126-6708/1999/04/032

On Matrix Models of M5-branes
Brodie J, Ramgoolam S
Nucl.Phys. B, Volume 521, page 139, DOI: 10.1016/S0550-3213(98)00071-6

On the refined counting of graphs on surfaces
Koch RDM, Ramgoolam S, Wen C
DOI: 10.1016/j.nuclphysb.2013.01.023

Permutation centralizer algebras and multimatrix invariants
RAMGOOLAM SK
Physical Review D - Particles, Fields, Gravitation, and Cosmology, DOI: 10.1103/PhysRevD.93.065040

Permutations and the combinatorics of gauge invariants for general N
Ramgoolam S
Proceedings of Science,

Quantum Spacetimes and Finite N Effects in 4D Super Yang-Mills Theories
Ho P-M, Ramgoolam S, Tatar R
Nucl.Phys. B, Volume 573, page 364, DOI: 10.1016/S0550-3213(99)00819-6

Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
Pasukonis J, Ramgoolam S
DOI: 10.1007/JHEP04(2012)077

Scattering of zero branes off elementary strings in Matrix Theory
Gopakumar R, Ramgoolam S
Nucl.Phys. B, Volume 514, page 177, DOI: 10.1016/S0550-3213(97)00726-8

Some properties of unstable monopoles in Super-QCD
Barbon JLF, Ramgoolam S
Phys.Rev. D, Volume 55, page 1013, DOI: 10.1103/PhysRevD.55.1013

Strings from Feynman Graph counting : without large N
Koch RDM, Ramgoolam S
DOI: 10.1103/PhysRevD.85.026007

Stringy Spacetime Uncertainty as an Alternative to Inflation
Gu J-A, Ho P-M, Ramgoolam S

The Beta Ansatz: A Tale of Two Complex Structures
Hanany A, He Y-H, Jejjala V et al.
JHEP, Volume 1106, page 056, DOI: 10.1007/JHEP06(2011)056

Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
Garner D, Ramgoolam S, Wen C
Journal of High Energy Physics, DOI: 10.1007/JHEP11(2014)076

Toric CFTs, Permutation Triples, and Belyi Pairs
Jejjala V, Ramgoolam S, Rodriguez-Gomez D
JHEP, Volume 1103, page 065, DOI: 10.1007/JHEP03(2011)065

Torons and D-Brane Bound States
Guralnik Z, Ramgoolam S
Nucl.Phys. B, Volume 499, page 241, DOI: 10.1016/S0550-3213(97)00286-1

Wilson Loops in 2D Yang Mills: Euler characters and Loop equations
Ramgoolam S
Int.J.Mod.Phys. A, Volume 11, page 3885, DOI: 10.1142/S0217751X96001838

Zero-Branes on a Compact Orbifold
Ramgoolam S, Waldram D
JHEP, Volume 9807, page 009, DOI: 10.1088/1126-6708/1998/07/009

PhD Supervision

PhDs/Postdocs

PhD students supervised :

  1. Costis Papageorgakis
  2. Tom Brown
  3. David Turton
  4. Jurgis Pasukonis
  5. David Garner 
  6. Paolo Mattioli
  7. Christopher Lewis-Brown (Current)

Recent post-doctoral collaborators  at QMUL  :

  1. Ali Zahabi
  2. Diego Rodriguez Gomez
  3. Vishnu Jejjala
  4. Yusuke Kimura
  5. Paul Heslop
  6. Congkao Wen 

This is not an exhaustive list and I would be happy to discuss other project possibilities.

Project Title

Combinatorics and Representation Theory in Gauge-String in CFT and ADS/CFT

Symmetric groups and their group algebras, along with concepts in representation theory including Schur-Weyl duality, have been applied to the study of half-BPS states in N=4 SYM theory, in particular to clarify the holographic map of the AdS/CFT correspondence. For full details click here

Public Engagement

Some research presentations 

  1. Permutation centralizer?algebras, polynomial invariants and supersymmetric states [PDF 1,066KB](talk at conference on representation theory and physics, Leeds, July 2016)
  2. BPS states, permutations and information (talk at YITP Kyoto programme on string theory, condensed matter physics and quantum information, June 2016)
  3. Quantum Field thories (QFTs), quivers and word combinatorics [PDF 4,825KB] (talk at theory group, computer science, EECS, QMUL, Oct. 21, 2015)
  4. CFT4?(4D?conformal QFT) as TFT2( 2D topological field theory) [PDF 4,438KB] (talk at school of Maths, QMUL, Mar 2, 2015)
  5.  Quiver gauge theory and TFT2s (2d topological field theories) [PDF 8,116KB] (talk at Quantum integrability workshop, Surrey, 08/2014)
  6. Quantum states to brane geometries via fuzzy moduli space [PDF 517KB] (talk at Oxford Maths Institute, 02/12)
  7. Permutations, strings and Feynman Graphs [PDF 631KB] ( talk at City Maths Dept, 11/2011)
  8. Strings, Permutations and Quantum Fields [PDF 476KB] (talk at Corfu2011 workshop on non-commutatve field theory and gravity)
  9. Symmetric groups and local operators in gauge theory [PDF 499KB] (talk at Lisbon 2011)
  10. From numbers to strings and branes [PDF 83KB] (talk at Galileo Galilei Institute 2011)
  11. Feynman Diagrams and Absolute Galois group [PDF 293KB] (talk at B(A)MC 2010)
  12. Matrix Models, Hurwitz spaces Galois Group [PDF 667KB](talk in Southampton Pure Maths group)
  13. Fuzzy geometry of membranes in M-theory [PDF 314KB] (talk at Imperial)

A short review article:  

  1. Schur-Weyl duality and Gauge-string duality  (Talk given at "Ten years of AdS/CFT in Argentina,2008)

Outreach

Some popular talks :

  1. Duality and Emergence in String theory, talk at the Mauritius Diaspora Conference 2018
  2. Symmetries and Surprises in String Theory (Talk for Psi Star QMUL, December 2013)
  3. What is String Theory ? (talk at Bryanston School, April 2012)
  4. Strings and hidden geometries (talk at Inauguration of School of Phys and Astro 2012)
  5. String Theory and Hidden dimensions of spacetime (talk for Waltham Forest Physics masterclass)
  6. From force and matter to strings( talk at Highgate school, 2003)
  7. Strings in the quantum world ( talk at Oxford, 2009 )
  8. Duality and the nature of quantum space-time  : ( talk at Oxford,Jan 2009 )
  9. Space and Time, Light and Gravity in String Theory ( talk at PPARC 2006)