My research interest lies in the intersection of Commutative Algebra, Computational Algebra and Combinatorics.
Previous Positions:
- Postdoctoral Fellow, The Abdus Salam International Centre of Theoretical Physics, Trieste, Italy (March 2016- August 2016)
- Postdoctoral Fellow, JSPS fellowship, Osaka University, Japan. (December 2014 – February 2016)
- Postdoctoral Fellow, The Abdus Salam International Centre of Theoretical Physics, Trieste, Italy, 2014.
- Long-Term Visiting Scientist, The Abdus Salam International Centre of Theoretical Physics, Trieste, Italy, 2013.
- Postdoctoral Fellow, Abdus Salam School of Mathematical Sciences, GCU, Lahore, Pakistan, March-June, 2012.
- Postdoctoral Fellow, Abdus Salam School of Mathematical Sciences, GCU, Lahore, Pakistan, September-December, 2012
Refereed Papers:
- On the embedded associated primes of monomial ideals, with Mirsadegh Sayedsadeghi, Mehrdad Nasernejad, accepted in Rocky Mountain Journal of Mathematics.
- Regularity and Gorenstein property of L-convex polyominoes, with Viviana Ene, Jürgen Herzog, Francesco Romeo, Electronic Journal of Combinatorics, in press.
- On reduced Archimedean skew power series rings, with Hamed Mousavi and Farzad Padashnik, Journal of Algebra and Its Applications, DOI: 10.1142/S0219498822500426
- Restricted classes of Veronese type ideals and algebras, with Rodica Dinu and Jürgen Herzog, International Journal of Algebra and Computations, Vol. 31, No 1, pp 173-197, 2021.
- T-spread strongly stable monomial ideals, with Jürgen Herzog and Viviana Ene, Communications in Algebra, 47:12, 5303-5316, 2019, DOI: 10.1080/00927872.2019.1617876
- Fiber cone of a monomial ideal in 2 variable, with Jürgen Herzog and Maryam Mohammadi Saem, Journal of Symbolic computation, Vol. 94, Pages 52-69, 2019 (doi.org/10.1016/j.jsc.2018.06.022).
- On the relations of isotonian algebras, with Jürgen Herzog and Akihiro Shikama, Proceedings of American Mathematical Society, Vol. 145, No. 10, pp. 4119-4226, 2017 (doi.org/10.1090/proc/13502).
- Simple polyominoes are prime, with Takafumi Shibata and Akihiro Shikama, Journal of Commutative Algebra, Vol. 9, No. 3, pp. 413-422, Fall 2017.
- Isotonian Algebras, Mina Bigdeli, Jürgen Herzog, Takayuki Hibi and Akihiro Shikama, Nagoya Mathematical Journal, Vol. 230, pp. 83-101, June 2018, (DOI 10.1017/nmj.2017.4).
- Hankel ideals of 2-minors associated with pairs of proper intervals graphs, with Faryal Chaudhry, Journal of Algebra and its Applications, Vol. 16, No. 4, pp. 1750070, 2017.
- Alexander duality for monomial ideals associated with isotone maps between posets, with Jürgen Herzog and Akihiro Shikama, Journal of Algebra and its Applications, Vol. 14, No. 5, pp. 1650089, 2016.
- Gröbner bases of balanced polyominoes, with Jürgen Herzog and Akihiro Shikama, Mathematische Nachrichten, Vol. 288, No. 7, pp. 775-783, 2015.
- Polarization of Koszul cycles with applications to powers of edge ideals of Whisker graphs with Jürgen Herzog, Takayuki Hibi, Proceedings of American Mathematical Society, Vol. 143(7), pp. 2767-2778, 2015.
- A Koszul filtration for the second squarefree Veronese subring, with Takayuki Hibi, Akihiro Shikama, International Journal of Algebra, Vol. 9, pp. 7-14, 2015.
- Persistence and stability properties of powers of ideals, with Jürgen Herzog, Journal of Pure and Applied Algebra, Vol. 219, No. 3, pp. 530-542, 2015.
- Indispensable Hibi relations and Gröbner basis, Algebra Colloquium, Vol. 22, No. 4, pp. 567-580, 2015.
- Nonsimple polyominoes and prime ideals, with Takayuki Hibi, Illinois Journal of Mathematics, Vol. 59, No. 2, pp. 391-398, 2015.
- The binomial edge ideal of a pair of graphs, with Viviana Ene, Jürgen Herzog, Takayuki Hibi, Nagoya Mathematical Journal, Vol. 213, pp. 105-125, 2014.
- On characteristic poset and Stanley Decomposition, with Sarfraz Ahmad, Imran Anwar, Analele Stintifice ale Universitatii Ovidius Constanta-Seria Mathematica, Vol. 22(2), pp. 21-28, 2015.
- Regularity of join-meet ideals of distributive lattices, with Viviana Ene, Asia Rauf, Electronic Journal of Combinatorics, Vol. 20, No. 3, P20, 2013.
- Ideals generated by diagonal 2-minors, with Viviana Ene, Communications in Algebra, Vol. 41, No. 8, pp.3058-3066, 2013.
- Ideals generated by 2-minors, collections of cells and stack polyominoes, Journal of Algebra, Vol. 357, No. 3, pp. 279 – 303, July, 2012.
Invited Talks
- September 1, 2020; One day workshop on Commutative algebra and related fields, Ovidius University, Constanta, Romania(online).
- September 28, 2019; One day joyful workshop on Commutative Algebra and related fields, Ovidius University, Constanta, Romania.
- July 29 – August 1, 2019; The 8th SEAMS-UGM International Conference on Mathematics and Its Applications, Yogyakarta, Indonesia
- July 30 2019; South East Asian Women Mathematicians Meeting (SEAWM2), Yogyakarta, Indonesia
- August 26-20, 2018: The 26th National school on Algebra, Constanta, Romania.
- May 16-20, 2018: Antalya Algebra Days XX, Nesin Mathematik Köyü, Sirince, Turkey
- December 26-29, 2017: First winter workshop on advanced topics in Mathematics: Commutative Algebra and Banach space theory, Abdus Salam School of Mathematical Sciences, Lahore, Pakistan.
- August 15-19, 2017: Workshop on contemporary topics in Analysis, Algebra and Geometry, Abdus Salam School of Mathematical Sciences, Lahore, Pakistan.
- March 4, 2017: Ankara-İstanbul Algebraic Geometry & Number Theory meetings, Istanbul Center for Mathematical Sciences (IMBM), Istanbul.
- December 9-10, 2016: CASM Workshop on Algebra and Applications, Lahore University of Management Sciences (LUMS), Lahore, Pakistan.
- November 2-3, 2016: Second International workshop on modern aspects of algebra and graph theory, COMSATS Institute of Information Technology, Lahore, Pakistan.
- August 17-24, 2016: Multigraded algebra and applications, The 24th National School on Algebra. Moieciu de Sus, Romania.
- November 18-22, 2015: The 37th Japan symposium on Commutative Algebra, Okayama University.
- August 26-29, 2015: Syzygies in Algebra, Busan, Korea.
- August10-11, 2015: Mini seminar on Combinatorics and Commutative Algebra, Osaka Univeristy, Japan.
- July 1-10, 2015: Current trends on Gröbner bases- The 50th anniversary of Gröbner bases, Osaka, Japan.
- September 1-5, 2014: The 22nd National school on Algebra, Bucharest, Romania.
- April 28-30, 2014: Seminar series on homological properties of powers of ideals, ICTP, Trieste, Italy.
- March 28-29, 2014: Workshop on recent advances in commutative algebra with algebraic geometry, Lahore University of Management Sciences (LUMS), Lahore, Pakistan.
A list of few Seminars:
- November 11, 2019: Bilkent Üniversitesi, Online
- March 23, 2017: Koç Üniversitesi, Istanbul, Turkey.
- December 1, 2016: Bilkent Üniversitesi, Ankara, Turkey.
- November 23, 2016: Boğaziçi Üniversitesi, Istanbul, Turkey.
- October 21, 2016: Gebze Teknik Üniversitesi, Istanbul, Istanbul, Turkey.
- October 13, 2016: Mimar Sinan Güzel Sanatlar Üniversitesi, Istanbul, Turkey.
- May 25, 2015: Okayama University.
- January 9, 2015: Saga University, Saga, Japan.
- March 24, 2014: Üniversität Essen-Duisburg, Germany.
- November 21, 2013: Rikkyo University, Tokyo, Japan.
- November 6, 2013: Osaka University, Osaka, Japan.
Graduate Student:
At present:
- Busra Atar (MS)
- Ali Ahmad (PhD)
- Asli Musapasaoglu (PhD)
Alumini:
- Elshani Kamberi (MS – January 2021)
- Asli Musapasaoglu (MS – July 2018)