Highlights

Identities for punctured torus groups

Identities for punctured torus groups

November 26, 2015

26 Nov 2015 Mathematicians in NUS have discovered new variations to the McShane identity for SL(2,C) characters of the punctured…

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Space Symmetries Dictate the Geometry

Space Symmetries Dictate the Geometry

November 19, 2015

19 Nov 2015 NUS mathematicians discover the relation between space symmetries and the underlying geometric shape of the space. It…

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Exceptional Lie algebras from number theory

Exceptional Lie algebras from number theory

November 09, 2015

09 Nov 2015 NUS mathematicians describe one powerful method called the local theta correspondence or Howe correspondence. Abstract: Let g…

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A generalization of very odd sequences

A generalization of very odd sequences

October 29, 2015

29 Oct 2015 NUS mathematicians described the classical theorems for very odd sequences and give a characterization of these new…

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Rigidity of functors on spaces

Rigidity of functors on spaces

October 08, 2015

8 Oct 2015 NUS mathematicians have recently discovered the homotopy rigidity of the functor ΣΩ on finite p-local co-H-spaces. Rigidity…

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Taming the Howe duality conjecture

Taming the Howe duality conjecture

September 23, 2015

23 Sep 2015 NUS mathematician helped resolve the 40-year old Howe duality conjecture. Slightly more than 40 years ago, Prof…

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Determining a space by order only

Determining a space by order only

September 14, 2015

14 Sep 2015 NUS mathematicians clarified the role of order in determining the linear and/or topological structures of function spaces….

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Perturbation for Eigenvalues and Singular values

Perturbation for Eigenvalues and Singular values

September 06, 2015

06 Sep 2015 NUS mathematicians reported that strong relative perturbation bounds are developed for eigenvalues and singular values of totally…

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Intersecting families of permutations and set partitions

Intersecting families of permutations and set partitions

May 22, 2015

22 May 2015 NUS mathematicians have recently extended some classical theorems for finite sets in Extremal Combinatorics to other combinatorial…

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Identities for closed hyperbolic surfaces

Identities for closed hyperbolic surfaces

October 01, 2014

1 Oct 2014. NUS mathematicians have derived new identities on the moduli space of closed hyperbolic surfaces. Surfaces are some…

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