[MC-90927] Multiple JVM crashes

Minecraft has a tendency to crash on my system at seemingly random times. Here's the log from the launcher:

#
# A fatal error has been detected by the Java Runtime Environment:
#
#  EXCEPTION_ILLEGAL_INSTRUCTION (0xc000001d) at pc=0x00007ff970e10040, pid=12184, tid=3328
#
# JRE version: Java(TM) SE Runtime Environment (8.0_60-b27) (build 1.8.0_60-b27)
# Java VM: Java HotSpot(TM) 64-Bit Server VM (25.60-b23 mixed mode windows-amd64 compressed oops)
# Problematic frame:
# C  0x00007ff970e10040
#
# Failed to write core dump. Minidumps are not enabled by default on client versions of Windows
#
# An error report file with more information is saved as:
# C:\Users\Max\AppData\Roaming\.minecraft\hs_err_pid12184.log
#
# If you would like to submit a bug report, please visit:
#   http://bugreport.java.com/bugreport/crash.jsp
# The crash happened outside the Java Virtual Machine in native code.
# See problematic frame for where to report the bug.
#

Additionally, the JVM crashes when I exit the game (via the quit button or the system "x" button):

#
# A fatal error has been detected by the Java Runtime Environment:
#
#  EXCEPTION_ACCESS_VIOLATION (0xc0000005) at pc=0x00007ff9ce491ed4, pid=10744, tid=7744
#
# JRE version: Java(TM) SE Runtime Environment (8.0_60-b27) (build 1.8.0_60-b27)
# Java VM: Java HotSpot(TM) 64-Bit Server VM (25.60-b23 mixed mode windows-amd64 compressed oops)
# Problematic frame:
# C  [OPENGL32.dll+0xe1ed4]
#
# Failed to write core dump. Minidumps are not enabled by default on client versions of Windows
#
# An error report file with more information is saved as:
# C:\Users\Max\AppData\Roaming\.minecraft\hs_err_pid10744.log
#
# If you would like to submit a bug report, please visit:
#   http://bugreport.java.com/bugreport/crash.jsp
#

I've attached the dump files to this ticket.

Here are my relevant GPU details:
Card: AMD R9 270X
Driver Packaging Version: 15.20.1062.1004-150803a-184226E
OpenGL Version: 6.14.10.13399
AMD Audio Driver Version: 10.0.0.01