RESEARCH

My area of research is algebraic geometry. More specifically, I work in A1-homotopy theory, which is a homotopy theory for algebraic schemes where the affine line plays the role of the unit interval. This framework adapts ideas and techniques from algebraic topology to the setting of algebraic geometry.

My doctoral work focused on A1-connectedness of varieties. I am currently interested in exploring the relationship between near rationality properties in birational geometry and A1-connectedness.

Publications

A^1- connected components of affine quadrics.
(joint with Dr. Chetan Balwe)
Int. Math. Res. Not. IMRN (2026)
Arxiv Link Published Version
Iterations of the functor of naive A^1-connected components of variety.
New York J. Math. (2025)
Arxiv Link Published Version

TALKS

Preprint by E. Boughattas : Unirationality and $R$-equivalence of conic bundles over a quasi finite fields, Algebraic Geometry Preprint Seminar, TIFR Mumbai. (October, 2025)
A^1-connectedness of affine quadrics, School of Mathematics Colloquium, TIFR Mumbai. (September,2025)
A^1-connected components of affine quadrics in Young Mathematicians' Symposium'25, IISER Mohali. (May, 2025)
Field Valued Sections of the sheaf of A^1-connected components of varieties in Motivic Algebraic Topology, TIFR Mumbai. (Jan, 25)
Presented poster in IWM's Annual Conference held in BITS Pilani, Goa. (July,2024)
Iterations of the functor of naive A^1-connected components of variety in Young Mathematicians' Symposium'24, IISER Mohali.(May,2024)
Fundamental group of unirational varieties in Graduate Student Group Seminar, IISER Mohali. (Nov, 2021)

EVENTS

Attended workshop on Arithmetic of algebraic cycles, Lodha Mathematical Science Institute, Mumbai. (Jan, 26)
Attended workshop on Topics in Hodge Theory, Ashoka University, Haryana. (Jan, 26)
Attended Motivic Algebraic Topology Workshop, TIFR Mumbai. (Jan, 25)
Attended IWM's Annual Conference held in BITS Pilani, Goa. (July,2024)
Attended Summer School on Stable Motivic Homotopy Theory held in SCMS, Fudan University, Shanghai.(June,2024)
Tutor for Algebra in AFS-2 organized in IISER Bhopal. (June,2024)
Tutor for Combinatorics at IWM Winter School for Young Women in Mathematics held in Patiala University.(Dec, 2023)
Attended AIS workshop on Birational Geometry in CMI. (May-June, 2023)
Attended research Group Meeting on A^1-enumerative geometry in IISER Pune. (May, 2023)
Attended NCM workshop on Intersection Theory in IIT Bombay. (May, 2022)
Delivered a talk on Fundamental group of unirational varieties in Graduate Student Group Seminar, IISER Mohali. (Nov, 2021)