My name is Nawaj KC and I am interested in commutative algebra. I am a fifth year graduate student at Nebraska advised by Mark E Walker and Jack Jeffries. 

Email: nkc3 at huskers.unl.edu

Preprints: 

1. On liftings of modules of finite projective dimension. (Joint with Andrew J. Soto Levins).  Int. Math. Res. Not. IMRN., to appear. (2024) 

2. Singular loci of algebras over ramified discrete valuation rings.   Bull. Lond. Math. Soc., to appear. (2024)  

3. Lower bounds on Loewy lengths of modules of finite projective dimension. (Joint with Josh Pollitz).  (2024)  

I like modules of finite length and finite projective dimension over local singularities (see [DHM], [W], [IMW]). I also like some mixed characteristic commutative algebra, especially "mixed" Kähler differentials (see [HJ], [DGJ]). I have also recently been interested in local complete intersections (see [E], [Av], [AvB]) . 

I was a Program Associate at SLMath (formerly MSRI) for Spring 2024. Here's my 5-minute introduction (the question I pose here has been answered!). 

Recorded Talks: 

1. A Jacobian Criterion in Ramified Mixed Characteristic.