On software verification via dependent type theory with Coq:
Adam Chlipala, Implementing Certified Programming Language Tools in Dependent Type Theory, Berkeley (2007) [UCB/EECS-2007-113, pdf, web]
Adam Chlipala, Certified programming with dependent types, MIT Press 2013 (ISBN:9780262026659, pdf, book webpage)
On internal categories in homotopy type theory:
On cryptography:
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