Kashyap scaled his career-best singles ranking a day after losing his first-round match at the India Open Super Series here to former world number 1 Taufiq Hidayat of Indonesia.
Seventeen-year-old P V Sindhu also reached her career-best ranking of number 15 in the women's singles while Saina Nehwal retained the number two spot.
R M V Gurusaidutt and Sourabh Verma also headed north in the table, jumping two places each to be ranked at 33 and 36, respectively.
All the top shuttlers of the country are presently competing in the tournament, held at the Siri Fort Sports Complex.