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Megha Goyal

Megha Goyal

Assistant Professor

Brief Biography

Research Interests: Number Theory- Primarily interested in combinatorial interpretations of various basic series dentities in terms of different combinatorial objects such as partitions, lattice paths, Frobenious symbols, anti-hook differences etc.

Educational Qualification

  • PhD - Mathematics, Department of Mathematics, Panjab University, Chandigarh, India (May, 2014)
  • B.Ed. - Science, Mathematics Government College of Education, Chandigarh, India (August, 2009)
  • M.Sc. (Hons. School) - MathematicsDepartment of Mathematics, Panjab University, Chandigarh, India. (July, 2008)
  • B.Sc. (Non Medical) Government College, Malerkotla, Punjab, India (June, 2006)
  • Qualified UGC-NET-Dec 2008 and UGC-JRF-Dec 2010

Teaching Experience

  • Assistant Professor Department of Mathematics, IKG Punjab Technical University, Kapurthala (Currently Working)

Area of Interest (Teaching)

  • Number Theory

Area of Interest (Research)

  • Partition Theory

Awards & Honors

  • Best Publication of the year 2018 by International Society of Special Functions. Awarded Open arms grant to attend ICM 2018 held in Rio de Janeiro, Brazil. Awarded 3 international and 1 national Best paper presentation awards.  

Research Publications

Title of Paper Name of Author/s Journal Year ISSN Link
On q-series and Split Lattice Paths M. Goyal Graphs and Combinatorics 2020 0911-0119 Ref Link
An Analogue of Euler's Identity and Split Perfect Partitions M. Goyal Bulletin of the Australian Mathematical Society 2019 0004-9727 Ref Link
On Rogers-Ramnujan Type of Identities for Overpartitions and Generalized Lattice Paths M. Goyal Bulletin of the Korean Mathematical Society 2018 1015-8634 Ref Link
On Combinatorial Extensions of Rogers-Ramanujan Type Identities M. Goyal Contributions to Discrete Mathematics 2017 1715-0868 Ref Link

Administration Experience

  • Warden Girls Hostels 1 & 2

Conferences

S.No Authors Title of Paper Name of Conference
1 Megha Goyal Anti-hook Differences and Gollnitz- Gordon Identities ICM 2018

Seminars

  • Convener of TEW 2019, a joint venture of TIFR Bombay and IIT Bombay.

Expert Talks

  • Expert Talk on Rogers-Ramanujan Identities in a national Conference held by DAV College Jalandhar in 2018. Expert Talk on Partition Theory in a national Conference held by GGDSD College Hoshiarpur in 2021.