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Department of Mathematics

Some of humankind’s most powerful and beautiful ideas occur in the field of Mathematics. For centuries it has also been the language of natural sciences, and this has now expanded to cover many of the social sciences. The wide applicability of mathematical ideas has made it one of the most fruitful arenas of human enquiry. The subject has various facets: logical reasoning, analytical rigour, problem-solving, recognition of patterns, computation, developing general theories and applying them to specific problems. This makes the subject an ideal ground for learning a broad range of skills required by the modern technological society. 

The Department of Mathematics has created an inspiring environment for studying mathematics, with a modern curriculum, small class sizes and many mentoring opportunities for students. The members of the faculty are well known around the world for their research. They are also dedicated teachers who care about the growth of each student. Past students have pursued further education from leading institutions in the world or joined prestigious companies.

Programmes

Faculty at Mathematics

The Department of Mathematics has world class faculty with PhDs from premier institutions in India, USA and Europe. Our faculty is internationally reputed for its research and collaborates with mathematicians around the world. In addition, they are committed to their teaching and mentoring activities.

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Abstract:

The Brauer group is an arithmetic invariant associated with a field that classifies all finite-dimensional central division algebras over the given field. In this talk, we will start by providing some motivation and the definition of the Brauer group of fields. We will then extend this definition to more general objects such as algebraic varieties. For varieties of dimension one (referred to as "curves"), the Brauer group is closely connected to their Picard group. We will explore this connection in this talk and present some new results on this topic, which are part of a joint work with Amalendu Krishna and Samiron Sadhukhan.

About the speaker:

He is a mathematician who works in the fields of algebraic K-theory and arithmetic geometry. Specifically, he is interested in problems related to class field theory for varieties, Chow groups of zero cycles, and the Brauer group of varieties.

Since June 2023, he has been a postdoctoral fellow at the Harish-Chandra Research Institute, Prayagraj. From 2017 to 2023, he pursued his PhD at the Tata Institute of Fundamental Research (TIFR), Mumbai.

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Abstract:

The Brauer group is an arithmetic invariant associated with a field that classifies all finite-dimensional central division algebras over the given field. In this talk, we will start by providing some motivation and the definition of the Brauer group of fields. We will then extend this definition to more general objects such as algebraic varieties. For varieties of dimension one (referred to as "curves"), the Brauer group is closely connected to their Picard group. We will explore this connection in this talk and present some new results on this topic, which are part of a joint work with Amalendu Krishna and Samiron Sadhukhan.

About the speaker:

He is a mathematician who works in the fields of algebraic K-theory and arithmetic geometry. Specifically, he is interested in problems related to class field theory for varieties, Chow groups of zero cycles, and the Brauer group of varieties.

Since June 2023, he has been a postdoctoral fellow at the Harish-Chandra Research Institute, Prayagraj. From 2017 to 2023, he pursued his PhD at the Tata Institute of Fundamental Research (TIFR), Mumbai.

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News

Events

News

Contact Us

For any queries regarding Mathematics programmes, please contact: -

Rajendra Bhatia

Head of Department

rajendra.bhatia@ashoka.edu.in

Bhudev Sharma

Department Manager

math@ashoka.edu.in

Monu Jangra

Student Representative

monu.jangra_ug24@ashoka.edu.in

Study at Ashoka

Study at Ashoka

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