Dr. Ritu Dhankhar

Specialization: Complex Analysis, Geometric Function Theory, Approximation Theory

 Academic Experience:

• Working as Assistant Professor in Department of Mathematics at NMIMS since February 2024.
• Worked as Assistant Professor in Department of Mathematics at VIT-AP University from May 2023 to January 2024.                  

 Research Experience:

• Defended Ph. D. at Department of Mathematics, Birla Institute of Technology and Science (BITS), Pilani, thesis titled ‘Geometry of Zeros and Bernstein-type Inequalities for Complex Polynomials’ under Prof. Prasanna Kumar in May 2023.
• Worked as JRF under NBHM sponsored research project entitled ‘A Study on the inequalities involving Complex Polynomials’ for two years (2018-2020).

 Educational Details:

• Ph.D. in Geometric Function Theory, May 2023, at BITS Pilani.
• Master’s in Mathematics, 2016, at SGTB Khalsa College, University of Delhi.
• Bachelor’s in Mathematics (Honours), 2014, at Miranda House College, University of Delhi.

 Achievements:

• AIR 33 in CSIR-UGC NET Exam in Mathematical Science conducted in June 2017.
• AIR 235 in GATE Exam in Mathematics held in February 2018.

Awards:

• Selected by SERB for travel grant to attend JMM conference in 2021.
• Selected by CSIR for travel grant to attend AMS conference in 2019.

 Professional Memberships:

• Life member of Ramanujan Mathematical Society.
• Life member of Indian Mathematical Society.

 Courses Taught:

• Linear Algebra
• Calculus
• Optimization Techniques

 Conferences:

• April 2022- Presented a paper titled ‘On the sharpening of an inequality due to Rivlin’ in ‘Joint Mathematics Meetings’ organized jointly by American Mathematical Society and Mathematical Association of America in virtual mode.
• Oct 2021- Presented a paper titled ‘On the location of zeros of polynomials’ in ‘American Mathematical Society Fall Virtual Western Sectional Meeting’ organized by American Mathematical Society in virtual mode.
• Oct 2019- Presented a paper titled ‘On the generalization of Turán’s inequality for the derivative of a polynomial’ in ‘American Mathematical Society Fall Eastern Sectional Meeting’ at Binghamton University, New York, USA.
• June 2018- Presented a paper titled ‘A remark on the location of zeros of a polynomial’ in ‘33rd International Conference of Ramanujan Mathematical Society’ at University of Delhi, Delhi.

Workshops:

• Dec 2021- Participated in Teachers’ Enrichment Workshop on ‘Complex Analysis and Number Theory’ at IIT Bhubaneswar.
• July 2021- Participated in Instructional School for Teachers on ‘Geometry of Complex Functions’ at Indira Gandhi National Tribal University, Amarkantak.
• May 2019- Participated in Annual Foundation School I at Harish Chandra Research Institute, Allahabad.
• Dec 2018- Attended Workshop on ‘Complex Analysis and Complex Dynamics’ funded by NBHM at Department of Mathematics in IIT Tirupati.

Research Publications:

• Jan 2022- P. Kumar, Dhankhar, On the location of zeros of polynomials, Complex Analysis and Operator Theory, 16 (1), 1-13.
• July 2020- P. Kumar, Dhankhar, Some refinements of inequalities for polynomials, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 63(111)(4), 359-367.
• June 2020- Dhankhar, P. Kumar, A remark on a generalization of the Cauchy’s bound, Comptes Rendus de l’ Académie Bulgare des Sciences, 73 (10), 1333-1339.

June 2020- R. Dhankhar, N. K. Govil, P. Kumar, On sharpening of inequalities for a class of polynomials satisfying p(z) ≡ z np(1/z), Studia Scientiarum Mathematicarum Hungarica, 57 (2), 255-266